Question

Determine the intercepts of the line. 9x – 7y = 14 x-intercept: y-intercept: O

Answer 1

To find the y-intercept of a line substitute x in the equation of the line by 0

To find the x-intercept of a line substitute y in the equation of the line by 0

∵ 9x - 7y = 14

→ Substitute y by 0 to find the x-intercept

`\begin{gathered} \because9x-7(0)=14 \\ \therefore9x-0=14 \\ \therefore9x=14 \end{gathered}`

→ Divide both sides by 9 to find x

`\begin{gathered} \because(9x)/(9)=(14)/(9) \\ \therefore x=(14)/(9) \end{gathered}`

∴ The x-intercept is (14/9, 0)

→ Substitute x by 0 to find the y-intercept

`\begin{gathered} \because9(0)-7y=14 \\ \therefore0-7y=14 \\ \therefore-7y=14 \end{gathered}`

→ Divide both sides by -7 to find y

`\begin{gathered} \because(-7y)/(-7)=(14)/(-7) \\ \therefore y=-2 \end{gathered}`

∴ The y-intercept is (0, -2)