Question

Write an equation in point-slope form of the line that passes through the given points (-3, 9) (10, -17)

Answer 1

first calculate slope
(y2 - y1) / (x2 - x1)

(x1,y1)= (-3, 9)
(x2,y2)= (10, -17)

Answer 2

m=-2

Answer 3

secondly put value of slope i.e. m in the following eq.
y = mx +b
y = -2x + b

Answer 4

third substitute either point into the equation. either (-3, 9) or (10, -17)
9 = -2(-3) + b

Answer 5

Forth solve for b, which is the y-intercept of the line
9 = 6 + b
b = 3

Answer 6

Fifth substitute b = 3, into the equation from step 2
y = -2x + 3 --- A
A is your required equation :) hope you understand it !