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)
Accepted Solution
A:
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 β put y = 0ax + b(0) = cax = c β divide both sides by ax = [tex]\frac{c}{a}[/tex]x-intercept = [tex]\frac{c}{a}[/tex]2. y-intercept β put 0 = 0a(0) + by = cby = c β divide both sides by by = [tex]\frac{c}{b}[/tex]y-intercept = [tex]\frac{c}{b}[/tex]3. Slope β put the equation in the form y = m x + c, m is the slopeax + by = c β subtract ax from both sidesby = c - ax β 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]β΅ 4x - 3y = -24β΅ ax + by = cβ΄ a = 4 , b = -3 and c = -24β΅ x-intercept = [tex]\frac{c}{a}[/tex]β΄ x-intercept = [tex]\frac{-24}{4}[/tex] β΄ x-intercept = -6β΅ y-intercept = [tex]\frac{c}{b}[/tex]β΄ y-intercept = [tex]\frac{-24}{-3}[/tex] β΄ y-intercept = 8β΅ m = [tex]-\frac{a}{b}[/tex]β΄ m = [tex]-\frac{4}{-3}[/tex]β΄ 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