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

Answer:
(B)
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)
[tex]\begin{gathered} \text{Slope}=\frac{1-0}{0-1.5} \\ =\frac{1}{-1.5} \\ m=-\frac{2}{3} \end{gathered}[/tex]We see that the line cuts the y-axis at y=1.
Therefore: b=1.
The equation of line m is:
[tex]y=-\frac{2}{3}x+1[/tex]