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