Answer:
[tex]x = \frac{12}{5}[/tex] or the x-intercept coordinates, [tex](\frac{12}{5},0)\\[/tex].
[tex]y = -6[/tex] or the y-intercept coordinates, [tex](0,-4)[/tex].
Solution:
Simplifying the equation into standard form:
[tex]4y = 10x - 24 \\ 4y - 10x = - 24[/tex]
Finding the x-intercept by evaluating (x,0):
[tex]4(0) - 10x = - 24 \\ - 10x = - 24 \\ x = \frac{ - 24}{ - 10} \\ x = \frac{12}{5} [/tex]
Finding the y-intercept by evaluating (0,y):
[tex]4y - 10(0) = - 24 \\ 4y = - 24 \\ y = \frac{ - 24}{4} \\ y = - 6[/tex]
