Slope-intercept form help?

Question

Find the slope-intercept form of the equation of the line that passes through the points (4,3) and (-4, -4).

I know the slope is 7/8 but I don't know how to get the slope intercept form. Thanks for any help.

Answer 1

Slope-Intercept form is in the form y=mx+b, where m is the slope and b is the y intercept value of y...

You found the slope so I will guess that you know how to find that.. but for others if they need it: (rise)/(run) or (y2-y1)/(x2-x1)

put that value in for m and you get y = (7/8)x+b...

now put in the values for one of the points for x and y and solve for b...

3 = (7/8)4+b
b = 3-(7/8)4
b = 3 - (28/8)
b = 3 - (7/2)
b = -1/2

now put this value into the slope-intercept form in place of b

y = (7/8)x - 1/2

you should check my work to make sure it is correct.

Answer 2

Slope intercept form is:

(y - b) = m(x - k)

Where m is the slope, k is the x intercept and b is the y intercept.
It is more commonly broken down into this form:

y = mx + b this is because usually the y intercept is found at 0 on the x axis.

so knowing m = 7/8, and using any of the points u were given we can find the y intercept (b):

so y = (7/8)x + b

using the point (4,3) we find b.

3 = (7/8)(4) + b
3 = 7/2 + b
3 - 7/2 = b
6/2 - 7/2 = b
b = -1/2

so slope-intercept form is: y = (7/8)x - (1/2)

Answer 3

the slope intercept form is y=mx+b

m is the slope, in this case 7/8

insert one point value into the equation....

3=7/8(4)+b
3= 7/2 +b
6/2- 7/2 = 7/2 - 7/2 +b
cancel...and subtract
b= -1/2

so the formula would be y=7/8x+(-1/2)

Answer 4

slope-intercept form is y=mx+b. m=slope, b=the y intercept. You know the slope is 7/8, so you have y=(7/8)x+b. plug in either of the points you were given and solve for b.

Answer 5

First you will need the slope. So, use the slope formula and the given points to do that. You must have done that when you obtained 7/8 for the slope. Then use the point-slope form: y - y1 = m(x - x1). Use either point for (x1,y1) (I would use (-4,-4) if were me) and the slope (m) you found. Manipulate the equation to solve for y and you will have the answer to your problem. Instead of me doing all that, I will let you do it

Answer 6

First you have to you point slope form to find the x intercept.

Then once you have that you plug into y=mx+b
m=7/8 b=x intercept so y=7/8x+?

Answer 7

The slope formula is (y-y)/(x-x) The y's are 4 and -4. The x's are the 3 and the other -4.