x-intercept
The intersection at x is when y = 0, so we substitute y = 0 into the equation and solve for x:
[tex]\begin{gathered} 4.7x-7.5(0)-7.7=0 \\ 4.7x-7.7=0 \\ 4.7x-7.7+7.7=0+7.7 \\ 4.7x=7.7 \\ \frac{4.7x}{4.7}=\frac{7.7}{4.7} \\ x=1.64 \end{gathered}[/tex]y-intercept
It is when x = 0, therefore:
[tex]4.7(0)-7.5y-7.7=0[/tex]And solve for y:
[tex]\begin{gathered} -7.5y-7.7=0 \\ -7.5y-7.7+7.7=0+7.7 \\ -7.5y=7.7 \\ \frac{-7.5y}{-7.5}=\frac{7.7}{-7.5} \\ y=-1.03 \end{gathered}[/tex]Answer:
x-intercept = 1.64
y-interceot = - 1.03
