x - intercept is the point where the line crosses the x - axis.
We know that on x - axis , y - coordinate is zero
Given Line : -6x + 3y = 18.9
For finding x - intercept, We need to substitute y = 0 in the given Equation
⇒ -6x + 3(0) = 18.9
⇒ -6x = 18.9
⇒ x = [tex]\frac{-18.9}{6}[/tex]
⇒ x = -3.15
⇒ x - intercept = -3.15
y - intercept is the point where the line crosses the y - axis.
We know that on y - axis , x - coordinate is zero
For finding y - intercept, We need to substitute x = 0 in the given Equation
⇒ -6(0) + 3y = 18.9
⇒ 3y = 18.9
⇒ y = [tex]\frac{18.9}{3}[/tex]
⇒ y = 6.3
⇒ y - intercept = 6.3
