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What are the x-intercept and the y-intercept of f(x)= -4x + 2

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

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

Posted on May 10, 2014

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1 Answer

D(t)=-2t+18


To graph this equation, we see that it is in the slope/intercept form of y=mx + b, where m is the slope and b is the y-intercept.

d(t)= -2t+18

Start with the y-intercept of 18 (0,18)

From this point, we can start graphing the line by using the slope of -2. Since the slope is negative, it goes up to the left. So we go one to the left, and up two.

Good luck.

Paul

Nov 30, 2016 | Office Equipment & Supplies

1 Answer

How to solve and graph the equation 4x+y+0


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

Oct 27, 2016 | Office Equipment & Supplies

1 Answer

How do I graph 4x+y=0


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

Oct 27, 2016 | Office Equipment & Supplies

1 Answer

Write an equation in slope intercept form that passes through (-4,7) and is perpendicular to y+4=1/4(x-7)


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

Apr 03, 2016 | Office Equipment & Supplies

1 Answer

Y=-3/4x+13


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.

Mar 20, 2014 | Computers & Internet

1 Answer

Finding x and y intercepts 4x^2-9


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

Sep 20, 2013 | Computers & Internet

1 Answer

X intercept of y=-4x


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

Nov 02, 2012 | Computers & Internet

1 Answer

What is the answer for 4x+y=5 intercepts


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

Jan 17, 2012 | Office Equipment & Supplies

1 Answer

What is the y-intercept of a line with an equation 8x-8+2y=0?


8x - 8 + 2y = 0
8X + 2Y = 8
y = -4x + 4
X = 0 por y-intercept
y=mx+b
Y = 8/2 or 4
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Jan 02, 2011 | Kitchen Ranges

2 Answers

Why is the y-intercept of the graph of 4x+2y=12?


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

Mar 31, 2010 | Computers & Internet

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