Step 1: Write out the equation of a line given two points
[tex]\begin{gathered} A(x_{1,}y_1) \\ B(x_2,y_2) \\ \text{equation of the line is} \\ \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Step 2: Pick two points from the graph provided
[tex]\begin{gathered} A(0,-2) \\ B(2.5,0) \end{gathered}[/tex]Step 3: Substitute the coordinates value in the formula
[tex]\begin{gathered} x_1=0;y_1=-2 \\ x_2=2.5;y_2=0 \end{gathered}[/tex][tex]\begin{gathered} \frac{y--2}{x-0}=\frac{0--2}{2.5-0} \\ \frac{y+2}{x}=\frac{2}{2.5} \\ \text{crossmultiply} \\ 2.5(y+2)=2x \\ y+2=\frac{2x}{2.5} \\ y=\frac{20x}{25}-2 \\ y=\frac{4}{5}x-2 \end{gathered}[/tex]Hence, the equation of the line is y=(4/5)x+(-2)
