4x - 3y = -24In complete sentences: Explain how to find the x and y intercepts. ( 2 Points )What is the x-intercept of this line? (1 Point)What is the y-intercept of this line? ( 1 Point)What is the slope of this line ? ( 1 Point)

The x-intercept of the line is -6The y-intercept of the line is 8The slope of the line is [tex]\frac{4}{3}[/tex]Step-by-step explanation:You can find x-intercept by substitute y in the equation by zeroYou can find y-intercept by substitute x in the equation by zeroIf the equation of the line is ax + by = c, then1. x-intercept ⇒ put y = 0ax + b(0) = cax = c ⇒ divide both sides by ax = [tex]\frac{c}{a}[/tex]x-intercept = [tex]\frac{c}{a}[/tex]2. y-intercept ⇒ put 0 = 0a(0) + by = cby = c ⇒ divide both sides by by = [tex]\frac{c}{b}[/tex]y-intercept = [tex]\frac{c}{b}[/tex]3. Slope ⇒ put the equation in the form y = m x + c, m is the slopeax + by = c ⇒ subtract ax from both sidesby = c - ax ⇒ divide both sides by by = [tex]\frac{c}{b}[/tex] - [tex]\frac{a}{b}[/tex] xm = [tex]-\frac{a}{b}[/tex]Slope = [tex]-\frac{a}{b}[/tex]∵ 4x - 3y = -24∵ ax + by = c∴ a = 4 , b = -3 and c = -24∵ x-intercept = [tex]\frac{c}{a}[/tex]∴ x-intercept = [tex]\frac{-24}{4}[/tex] ∴ x-intercept = -6∵ y-intercept = [tex]\frac{c}{b}[/tex]∴ y-intercept = [tex]\frac{-24}{-3}[/tex] ∴ y-intercept = 8∵ m = [tex]-\frac{a}{b}[/tex]∴ m = [tex]-\frac{4}{-3}[/tex]∴ m = [tex]\frac{4}{3}[/tex]The x-intercept of the line is -6The y-intercept of the line is 8The slope of the line is [tex]\frac{4}{3}[/tex]Learn more:You can learn more about slope in brainly.com/question/9801816#LearnwithBrainly