Question

What are the x- and y-intercepts of the line graphed above ?

Answer 1

`\begin{gathered} x_1=0,y_1=-5,x_2=2,y_2=0 \\ The\text{ equation are,} \\ y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)_{} \\ y+5=(0+5)/(2-0)(x-0) \\ y=(5)/(2)x-5 \\ So,\text{ the y-intercept is}\Rightarrow-5 \\ \text{Now, calculate for x,} \\ y+5=(5)/(2)x \\ 5x=2y+10 \\ x=(2)/(5)y+2 \\ So,\text{ the x-intercept is}\Rightarrow2 \end{gathered}`

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.