What is the slope intercept equation of the line (0,4) and (2.-2)

Question

asked Sep 16, 2020 229k views

2 Answers

Mseddon · Answer 1 · 2020-09-23T05:58:39+0000

Answer:

$slope=-3\\b=4\\$

Equation of the line

y=-3x+4

Explanation:

To find the slope we need two points,
(x_1,y_1) and
(x_2,y_2) In this case we have the points
(0,4) and
(2, -2)

slope=(y_2-y_1)/(x_2-x_1) (1)

We replace the points in the equation (1)

(y_2-y_1)/(x_2-x_1)

(-2-4)/(2-0) =(-6)/(2) =-3

We know the equation of the line:

y=mx+b (2)

To find b we replace the slope, x and y with one of the points in the equation (2)

$4=-3*0+b\\4=0+b\\b=4$

We substitute m and b in the general equation of the line

y=-3x+4