Question

Match the correct y=mx+b equation to the graph:

pls show work/explanation!

Answer 1

`y=-3x+2`

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

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=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`\displaystyle y-2=(-1-2)/(1-0)(x-0)`

Operating

`y-2=-3x`

Rearranging

`y=-3x+2`

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