Q:

Which graph represents the linear function below? y-4= (4/3)(x-2)

Accepted Solution

A:
Answer:The graph in the attached figureStep-by-step explanation:we have[tex]y-4=(4/3)(x-2)[/tex]This is the equation of a line into point slope formThe point is (2.4)The slope is m=4/3To plot the line find the interceptsThe y-intercept is the value of y when the value of x is equal to zeroFor x=0y-4=(4/3)(0-2)y=(-8/3)+4y=4/3The x-intercept is the value of x when the value of y is equal to zero0-4=(4/3)(x-2)-4=(4/3)x-(8/3)Multiply by 3 both sides-12=4x-84x=8-12x=-1we have the points(2,4), (0,4/3),(-1,0)Plot the lineNote With only two points it was necessary to draw the line. The third point was calculated for didactic purposes.see the attached figure