Question about Texas Instruments TI-82 Calculator

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The slope is the coefficient of the x term and the intercept is the constant term. So, for f(x)=-8x-6, the slope is -8 and the intercept is -6.

Posted on Nov 07, 2010

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Posted on Jan 02, 2017

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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.

Parallel means that the two lines will never meet. They are parallel to each other. In math terms, their slopes are the same, so the m values must be the same.

Starting with y = -5x + 1, putting into slope intercept form, y = mx + b, m = -5 and b=1.

Since it is parallel, it must have the same slope and the m values are the same.

So, y = -5x + b, but we don't know what the value of b is. To determine this, we know the point (-4,-6) 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 -6.

-6 = -5(-4) + b

-6 = 20 + b

subtract 20 from both sides

-6 - 20 = 20 + b - 20

-26 = b

Now substitute this into the equation.

y = -5x + -26

Putting it into correct form, we get y = -5x - 26.

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

It has a slope of -5, so it is parallel to y=-5x + 1

Is the point (-4,-6) 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 -6.

-6 = -5(-4) - 26

-6 = 20 - 26

-6 = -6

Sorry for the very long explanation, 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.

Parallel means that the two lines will never meet. They are parallel to each other. In math terms, their slopes are the same, so the m values must be the same.

Starting with y = -5x + 1, putting into slope intercept form, y = mx + b, m = -5 and b=1.

Since it is parallel, it must have the same slope and the m values are the same.

So, y = -5x + b, but we don't know what the value of b is. To determine this, we know the point (-4,-6) 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 -6.

-6 = -5(-4) + b

-6 = 20 + b

subtract 20 from both sides

-6 - 20 = 20 + b - 20

-26 = b

Now substitute this into the equation.

y = -5x + -26

Putting it into correct form, we get y = -5x - 26.

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

It has a slope of -5, so it is parallel to y=-5x + 1

Is the point (-4,-6) 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 -6.

-6 = -5(-4) - 26

-6 = 20 - 26

-6 = -6

Sorry for the very long explanation, 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

The slope is 3 and the y-intercept is 6.

Oct 15, 2014 | Office Equipment & Supplies

The slope is 3 and the y-intercept is 6.

Oct 15, 2014 | Office Equipment & Supplies

The slope is -2 and the y-intercept is 6.

May 20, 2014 | Office Equipment & Supplies

Simplify and put it into slope-intercept form:

y=9x-15

From the above the slope is readily seen to be 9 and the y-intercept is -15.

If this is homework be sure to show your work.

y=9x-15

From the above the slope is readily seen to be 9 and the y-intercept is -15.

If this is homework be sure to show your work.

Nov 19, 2013 | Computers & Internet

That's a little difficult since there is no y in the equation.

Nov 19, 2013 | Computers & Internet

Slope is 1 and y-intercept is 4. y = mx + b. Add y to both sides to get x + 4 = y . m then = slope (1) x = x

Nov 13, 2013 | Computers & Internet

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

Mar 31, 2010 | Computers & Internet

The equation of a straight line is given by y=mx + b where y if the y intercept on a graph and x is the x intercept on a graph and m is the slope of the line

Using the given information of ( -4, 6), m=8

-4 is the x intercept, 6 is the y intercept and the slope is 8.

Plugging these values into the y = mx + b gives 6 = (8) (-4) + b solving for b gives b = 32

Going back to the original equation of a straight line gives the equation of y = 8x + 32

Hope this helps Loringh PS Please leave a rating for me Thank you

Using the given information of ( -4, 6), m=8

-4 is the x intercept, 6 is the y intercept and the slope is 8.

Plugging these values into the y = mx + b gives 6 = (8) (-4) + b solving for b gives b = 32

Going back to the original equation of a straight line gives the equation of y = 8x + 32

Hope this helps Loringh PS Please leave a rating for me Thank you

Nov 19, 2008 | SoftMath Algebrator - Algebra Homework...

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