Question

Write the standard form of the line that passes through the given points. Include your work in your final answer.

Given points:
(3,1) and (-2,3)

Answer 1

find slope from the given 2 points by dividing change in y by the change in x

Answer 2

(x1,y1)=(3,1)
(x2,y2)=(-2,3)

y2-y1=3-1
x2-x1=-2-3

slope = (y2-y1)/(x2-x1)
=(3-1)/(-2-3)
= 2/-5

Slope=m
=2/-5

and line with slope m and passing through a point (xo,yo)
can be written in an equation in the form
y-yo = m(x-xo)

so a line with slope -2/5 and passing through the point (3,1)
y-1=-2/5(x-3)
you can simply this expression to write in terms of
y=.....
y=-2/5(x-3)+1
=-2/5 x - 2/5 * 3 + 1
=-2/5x -1/5
this is in
y=mx+b form where m is the slope -2/5 and b is the y intercept which is -1/5