6x+8y=24 and the problem asked to find the intercepts of this equations. First, we will do x-intercept which means that we need to make x=0 to find the value of y like this:
6x+8y=24
6(0)+8y=24
0+8y=24
8y=24
Divided 8 to both side
8y/8=24/8
y=3, so the x-intercept is (0,3)
Next, find the y-intercept by making y=0, to find the value of x.
6x+8y=24
6x+8(0)=24
6x+0=24
6x=24
Divided both side by 6
6x/6=24/6
x=4, so the y-intercept will equal (4,0). Hope it help!