The x-intercept is the value of x when y is equal to zero or the point on x-axis at which a straight line intersects in xy-plane. Hence:

Y = -4x + 8 (your statement)

0 = -4x + 8 (set y to 0)

0 - 8 = -4x + 8 - 8 (subtract 8 from both sides)

-8 = -4x (collect terms)

-8/-4 = -4x/-4 (divide both sides by -4)

Y = -4x + 8 (your statement)

0 = -4x + 8 (set y to 0)

0 - 8 = -4x + 8 - 8 (subtract 8 from both sides)

-8 = -4x (collect terms)

-8/-4 = -4x/-4 (divide both sides by -4)

**2 = x**