Assuming we're dealing with the straight line y=(-3/4)x+13. the y intercept is 13.

If we're really dealing with the hyperbola y=-3/4x+13 then there is no y intercept since there's a vertical asymptote at x=0.

Posted on Mar 20, 2014

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Posted on Jan 02, 2017

The easiest way to solve and graph and equation is to put the equation into the slope intercept form y = mx + b, where m is the slope and b in the y-intercept.

To do this, we subtract 4x from both sides and get y = -4x + 0.

From this we know m = -4 (slope) and the y-intercept is 0.

I always start with the y-intercept and put a point there. Thus, we have a point at (0,0). Using this as a starting point, we now use the slope of -4 to get future points. Since it is negative, we go one unit to the left and up four units. So we have the point (-1,4). Using a ruler, we connect these points and continue on both sides to produce the line.

There is also a great free online program/app called Desmos that you can use to check your work. Type in the equation of the line and it will graph it for you.

Good luck,

Paul

To do this, we subtract 4x from both sides and get y = -4x + 0.

From this we know m = -4 (slope) and the y-intercept is 0.

I always start with the y-intercept and put a point there. Thus, we have a point at (0,0). Using this as a starting point, we now use the slope of -4 to get future points. Since it is negative, we go one unit to the left and up four units. So we have the point (-1,4). Using a ruler, we connect these points and continue on both sides to produce the line.

There is also a great free online program/app called Desmos that you can use to check your work. Type in the equation of the line and it will graph it for you.

Good luck,

Paul

Oct 27, 2016 | Office Equipment & Supplies

The easiest way to solve and graph and equation is to put the equation into the slope intercept form y = mx + b, where m is the slope and b in the y-intercept.

To do this, we subtract 4x from both sides and get y = -4x + 0.

From this we know m = -4 (slope) and the y-intercept is 0.

I always start with the y-intercept and put a point there. Thus, we have a point at (0,0). Using this as a starting point, we now use the slope of -4 to get future points. Since it is negative, we go one unit to the left and up four units. So we have the point (-1,4). Using a ruler, we connect these points and continue on both sides to produce the line.

There is also a great free online program/app called Desmos that you can use to check your work. Type in the equation of the line and it will graph it for you.

Good luck,

Paul

To do this, we subtract 4x from both sides and get y = -4x + 0.

From this we know m = -4 (slope) and the y-intercept is 0.

I always start with the y-intercept and put a point there. Thus, we have a point at (0,0). Using this as a starting point, we now use the slope of -4 to get future points. Since it is negative, we go one unit to the left and up four units. So we have the point (-1,4). Using a ruler, we connect these points and continue on both sides to produce the line.

There is also a great free online program/app called Desmos that you can use to check your work. Type in the equation of the line and it will graph it for you.

Good luck,

Paul

Oct 27, 2016 | Office Equipment & Supplies

Let's break this down into a few parts first.

Slope intercept form is otherwise known as y = mx + b, where m is the slope and b is the y-intercept.

Perpendicular means that the two lines will intersect each other at a 90 degree angle. In math terms, their slopes will be negative reciprocals of each other.

Starting with y + 4 = 1/4(x -7), putting into slope intercept form, y = mx + b, m = 1/4 and b=-7/4 -4.

Since it is perpendicular, it must have a slope that is a negative reciprocal. The slope of the original line is 1/4, so the multiplying it -1, we get -1/4, and taking the reciprocal, we get -4. So the slope of the perpendicular line is -4.

So, y = -4x + b, but we don't know what the value of b is. To determine this, we know the point (-4,7) is on the line that we are trying to find, so we can substitute it into the equation and calculate b to make it work.

Every time we see an x we put in -4 and every time we see a y, we put in 7.

y = -4x + b

7 = -4(-4) + b

7 = 16 + b

subtract 16 from both sides

7 - 16 = 16 + b - 16

-9 = b

Now substitute this into the equation.

y = -4x + -9

Putting it into correct form, we get y = -4x - 9.

Let's check it to see if it is correct.

It has a slope of -4, so it is perpendicular to y=1/4x - 5 3/4.

Is the point (-4,7) on the line? Let's substitute it in to see if it is on the line.

Again, everywhere we see an x, we put in -4 and everywhere we see a y we put in 7.

y= -4x - 9

7 = -4 (-4) - 9

7 = 16 - 9

7 = 7

Sorry for the very long explanation, I was being overly thorough, but after you do a few of them, you will be able to knock them off in minutes.

Good luck,

Paul

Slope intercept form is otherwise known as y = mx + b, where m is the slope and b is the y-intercept.

Perpendicular means that the two lines will intersect each other at a 90 degree angle. In math terms, their slopes will be negative reciprocals of each other.

Starting with y + 4 = 1/4(x -7), putting into slope intercept form, y = mx + b, m = 1/4 and b=-7/4 -4.

Since it is perpendicular, it must have a slope that is a negative reciprocal. The slope of the original line is 1/4, so the multiplying it -1, we get -1/4, and taking the reciprocal, we get -4. So the slope of the perpendicular line is -4.

So, y = -4x + b, but we don't know what the value of b is. To determine this, we know the point (-4,7) is on the line that we are trying to find, so we can substitute it into the equation and calculate b to make it work.

Every time we see an x we put in -4 and every time we see a y, we put in 7.

y = -4x + b

7 = -4(-4) + b

7 = 16 + b

subtract 16 from both sides

7 - 16 = 16 + b - 16

-9 = b

Now substitute this into the equation.

y = -4x + -9

Putting it into correct form, we get y = -4x - 9.

Let's check it to see if it is correct.

It has a slope of -4, so it is perpendicular to y=1/4x - 5 3/4.

Is the point (-4,7) on the line? Let's substitute it in to see if it is on the line.

Again, everywhere we see an x, we put in -4 and everywhere we see a y we put in 7.

y= -4x - 9

7 = -4 (-4) - 9

7 = 16 - 9

7 = 7

Sorry for the very long explanation, I was being overly thorough, but after you do a few of them, you will be able to knock them off in minutes.

Good luck,

Paul

Apr 03, 2016 | Office Equipment & Supplies

when x = 0, y = 2 (y intercept)

when y = 0, 4x = 2, x = 0.5 (x intercept)

when y = 0, 4x = 2, x = 0.5 (x intercept)

May 09, 2014 | Computers & Internet

You put x=0 then y=0 in turn.

The x intercept, when y=0, gives 4x^2-9 = 0 or x = 3/2 = 1.5

The y intercept, x=0, gives y = -9

The x intercept, when y=0, gives 4x^2-9 = 0 or x = 3/2 = 1.5

The y intercept, x=0, gives y = -9

Sep 20, 2013 | Computers & Internet

Since y=-4x is a line going through the origin, both the x- and y-intercepts are zero.

Nov 02, 2012 | Computers & Internet

Y-intercept= value of y when x=0. This means y=13.

X-intercept = value of x when y= 0. Set y=0 in equation. This gives -11x=13. or x=-13/11

X-intercept = value of x when y= 0. Set y=0 in equation. This gives -11x=13. or x=-13/11

Mar 22, 2012 | Office Equipment & Supplies

The x-intercept is -1.25, the y-intercept is 5.

Jan 17, 2012 | Office Equipment & Supplies

use the slope-intercept form to graph y=2/3x+4

Mar 31, 2010 | Computers & Internet

Hi,

This calculator does not have a Solve function or a solver. However this example of yours is very simple that you can do it by hand. If you do not mind I will show you how to solve it. Not everything needs a calculator.

You want to solve for x. OK

This calculator does not have a Solve function or a solver. However this example of yours is very simple that you can do it by hand. If you do not mind I will show you how to solve it. Not everything needs a calculator.

You want to solve for x. OK

- Start by gathering similar terms 4x-x =3x; -13+5 =-8
- Rewrite your equation as 3x+1=2x-8
- Make the +1 change side while changing its sign
- 4x+1 -1 = 2x-8 -1 or 4x=2x-9
- Make +2x on the Right hand side go to the left hand side, changing its sign in the process 4x-2x=-9 or 2x=-9
- Divide both members by 2. This gives
- x=-9/2 or -4.5 if a decimal result is required.

Dec 06, 2009 | Texas Instruments TI-30XA Calculator

Sep 25, 2017 | Computers & Internet

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