[tex]x[/tex]-intercept: [tex]6[/tex]
[tex]y[/tex]-intercept: [tex]-\frac{15}{2}\\[/tex]
Given:
[tex]5x -4y = 30[/tex]
[tex]x[/tex]-intercepts is solved when [tex]y = 0[/tex]. In finding the [tex]x[/tex]-intercepts in the given equation, we must solve for the value of [tex]x[/tex] when [tex]y = 0[/tex].
Solving for [tex]x[/tex] when [tex]y = 0[/tex]:
[tex]5x -4y = 30 \\ 5x -4(0) = 30 \\ 5x = 30 \\ \frac{5x}{5} = \frac{30}{5} \\ x = 6[/tex]
So the [tex]x[/tex]-intercept is [tex]6[/tex]. If you are asked in ordered pair form, it is [tex](6,0)[/tex].
In finding the [tex]y[/tex]-intercepts in the given equation, we must solve for the value of [tex]y[/tex] when [tex]x = 0[/tex].
Solving for [tex]y[/tex] when [tex]x = 0[/tex]:
[tex]5x -4y = 30 \\ 5(0) -4y = 30 \\ -4y= 30 \\ \frac{-4y}{-4} = \frac{30}{-4} \\ y = -\frac{15}{2}[/tex]
So the [tex]y[/tex]-intercept is [tex]-\frac{15}{2}\\[/tex]. If you are asked in ordered pair form, it is [tex](0,-\frac{15}{2})\\[/tex].
