Answer:
The x-intercept is (4, 0)
The y-intercept is (0, -5)
Step-by-step explanation:
The x-intercept is always (x, 0)
Knowing this we can sub 0 for y in the equation so we can find the x-intercept
[tex]5x-4y=20\\5x-4(0)=20\\5x=20[/tex]
Now solve for x
[tex]5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4[/tex]
The x-intercept is (4,0)
The y-intercept is always (0, y)
Knowing this we can sub 0 for x in the equation so we can find the y-intercept
[tex]5x-4y=29\\5(0)-4y=20\\-4y=20[/tex]
Now solve for y
[tex]-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5[/tex]
The y-intercept is (0, -5)
