Question

Write the slope-intercept form equation of the line that passes through (-2, 3) and (1,-4).​

Answer 1

`(-7)/(3)`

Explanation:

`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

plug in the factors given,

`(-4-3)/(1--2)`

then simplify

`(-7)/(3)`

Answer 2

y = -7/3 x -5/3

Explanation:

We first need to find the slope

m = (y2-y1)/(x2-x1)

=(-4-3)/(1--2)

= (-4-3)/(1+2)

=-7/3

Slope intercept form of a line is

y=mx+b

y = -7/3x +b

Using the point (-2,3)

3 = -7/3(-2)+b

3 = 14/3 +b

Subtract 14/3 from each side

9/3 -14/3 =b

-5/3

y = -7/3 x -5/3