Question

For numbers 14-16, find the x and y intercepts of the function.14. 2x - 10y = -1015. 2x + 5y = -30

Answer 1

We have the next equation

`2x-10y=-10`

the y- intercept is where x=0

so we need to substitute the value of x=0 and find the value of y

`\begin{gathered} 2(0)-10y=-10 \\ -10y=-10 \\ y=(-10)/(-10)=1 \\ y=1 \end{gathered}`

the y-intercept is (0,1)

the x-intercept is where y=0

so wee need to substitute the value of y=0 and find the value of x

`\begin{gathered} 2x-10(0)=-10 \\ 2x=-10 \\ x=(-10)/(2) \\ x=-5 \end{gathered}`

the x-intercept is (-5,0)