Solution:
Given equation of line [tex]-4x+2y=24[/tex]
To find the x-intercept of the equation, substitute [tex]y=0[/tex] in the equation,
[tex]\Rightarrow -4x+2(0)=24\\\Rightarrow -4x=24\\\Rightarrow x=-\frac{24}{4} =-6[/tex]
Hence, x-intercept of the equation is [tex](-6,0)[/tex].
To find the y-intercept of the equation, substitute [tex]x=0[/tex] in the equation,
[tex]\Rightarrow -4(0)+2y=24\\\Rightarrow 2y=24\\\Rightarrow y=\frac{24}{2} =12[/tex]
Hence, y-intercept of the equation is [tex](0,12)[/tex].
