Question

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

Answer 1

Answer:

$slope=-3\\b=4$

Equation of the line

$y=-3x+4$

Step-by-step 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 $(2, -2)$

$slope=\frac{y_2-y_1}{x_2-x_1}$ (1)

We replace the points in the equation (1)

$\frac{y_2-y_1}{x_2-x_1}$

$\frac{-2-4}{2-0} =\frac{-6}{2} =-3$

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

$y=-3x+4$

Answer 2

Answer:

y= -3x + 4

Step-by-step explanation: