Question

Find the equation of the line passing through the points (-3,3) and (2,-32). Write your answer in the form Y=mx+b

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

point 01 (-3, 3)

point 02 (2 , -32)

Step 02:

equation of the line (y = mx + b)

slope = m

$m=\frac{y2-y1}{x2-x1}=\frac{-32-3}{2-(-3)}=\frac{-35}{2+3}=\frac{-35}{5}=-7$

(y - y1) = m (x - x1)

(y - 3) = -7 (x - (-3))

y - 3 = -7 (x + 3)

y = -7x - 21 + 3

y = -7x - 18

The answer is:

y = -7x - 18