Question

what equation in slop intercept form represents the line that passes through (1,-7) and (3,1)? please help

Answer 1

well let's begin by finding the slope

Answer 2

do you know how to find the slope of a line given two points on that line?

Answer 3

y=mx+b?

Answer 4

we will use y=mx+b to setup the equation
but we want to find the values m and b.
we are trying to find m right now
m is known as the slope of this equation

you can find the slope by doing the following :
If given two points on a line
let's call them (a,b) and (c,d)
then the slope of that line is:
\[\frac{d-b}{c-a}\]

Answer 5

you may have seen this formula written with different letters
like maybe you seen it as
\[\frac{y_2-y_1}{x_2-x_1}\]

Answer 6

you can line up the points if you want to like this:
(1,-7)
(3,1)
--- and subtract

but just remember to put your y difference over your x difference to find the slope

Answer 7

so -7-1=?
and 1-3=?

Answer 8

right -8/-2 is 8/2

Answer 9

you can reduce 8/2 though

Answer 10

we know this can be reduced since we know that 2 divides 8 evenly

Answer 11

so we are going to replace m in y=mx+b with?

Answer 12

why did you delete your comment ? :p