Question

1. Shown in the xy-plane below is the graph of line m. Which of the following is the equation of line m?

Answer 1

(B)

Step-by-step explanation:

The slope-intercept form of the equation of a line is: y=mx+b

First, we calculate the slope(m) using any two points on the line.

We pick the points (0,1) and (1.5,0)

`\begin{gathered} \text{Slope}=(1-0)/(0-1.5) \\ =(1)/(-1.5) \\ m=-(2)/(3) \end{gathered}`

We see that the line cuts the y-axis at y=1.

Therefore: b=1.

The equation of line m is:

`y=-(2)/(3)x+1`