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
[tex]\begin{gathered} \because9x-7(0)=14 \\ \therefore9x-0=14 \\ \therefore9x=14 \end{gathered}[/tex]→ Divide both sides by 9 to find x
[tex]\begin{gathered} \because\frac{9x}{9}=\frac{14}{9} \\ \therefore x=\frac{14}{9} \end{gathered}[/tex]∴ The x-intercept is (14/9, 0)
→ Substitute x by 0 to find the y-intercept
[tex]\begin{gathered} \because9(0)-7y=14 \\ \therefore0-7y=14 \\ \therefore-7y=14 \end{gathered}[/tex]→ Divide both sides by -7 to find y
[tex]\begin{gathered} \because\frac{-7y}{-7}=\frac{14}{-7} \\ \therefore y=-2 \end{gathered}[/tex]∴ The y-intercept is (0, -2)
