Question

Determine the intercepts of the line y=51 - 13 y-intercept: ( x-intercept: ( )

Answer 1

`\begin{gathered} y-\text{intercept}(0,-13) \\ x-\text{intercept}((13)/(5),0) \end{gathered}`

Step-by-step explanation

`y=5x-13`

the y-intercept is the point where the line intersects the y-axis, it is when x=0

and

the x-intercept is the point where the line intersects the x-axis,this is when y=0

so

Step 1

y-intercept

let x=0 and replace

`\begin{gathered} y=5x-13 \\ y=5\cdot0-13 \\ y=0-13 \\ y=-13 \end{gathered}`

so, the ordered pair is ( 0,-13)

Step 2

x-intercept

let y=0 and solve for x

`\begin{gathered} y=5x-13 \\ 0=5x-13 \\ \text{add 13 in both sides} \\ 0+13=5x-13+13 \\ 13=5x \\ \text{divide both sides by 5} \\ (13)/(5)=(5x)/(5) \\ (13)/(5)=x \end{gathered}`

hence, the ordered pair is (13/5, 0)

I hope this helps you