Question

Find the ordered pairs for the X and the Y intercepts of the equation 7x - 3y = 21.

Answer 1

x-intercept means the value of x at y = 0

y-intercept means the value of y at x = 0

the equation is

`7x-3y=21`

Substitute y by 0 to find the x-intercept

`\begin{gathered} 7x-3(0)=21 \\ 7x-0=21 \\ 7x=21 \end{gathered}`

Divide both sides by 7 to find x

`\begin{gathered} (7x)/(7)=(21)/(7) \\ x=3 \end{gathered}`

The ordered pair of x-intercept is (3, 0)

Substitute x by 0 to find the y-intercept

`\begin{gathered} 7(0)-3y=21 \\ 0-3y=21 \\ -3y=21 \end{gathered}`

Divide both sides by -3 to find y

`\begin{gathered} -(3y)/(-3)=(21)/(-3) \\ y=-7 \end{gathered}`

The ordered pair of the y-intercept is (0, -7)