[tex]\begin{gathered} x_1=0,y_1=-5,x_2=2,y_2=0 \\ The\text{ equation are,} \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)_{} \\ y+5=\frac{0+5}{2-0}(x-0) \\ y=\frac{5}{2}x-5 \\ So,\text{ the y-intercept is}\Rightarrow-5 \\ \text{Now, calculate for x,} \\ y+5=\frac{5}{2}x \\ 5x=2y+10 \\ x=\frac{2}{5}y+2 \\ So,\text{ the x-intercept is}\Rightarrow2 \end{gathered}[/tex]
You can also get the aswer by seeing at the graph,
For y-intercept, The y-axis is cut at -5.
and same for x-intercept which is cut at 2.
