Question

Match the correct y=mx+b equation to the graph: pls show work/explanation!

Answer 1

Answer:

$y=-3x+2$

$\boxed{m=-3,\ b=2}$

Step-by-step explanation:

Equation of a line

To define the equation of a line, we only need two points through which it passes. The graph shows two clear points to choose: (0,2) and (1,-1)

Set up the equation of the line by using the formula

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$\displaystyle y-2=\frac{-1-2}{1-0}(x-0)$

Operating

$y-2=-3x$

Rearranging

$y=-3x+2$

$\boxed{m=-3,\ b=2}$