Answer: The graph is attached.
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept
Given the following equation in Slope-Intercept form:
[tex]y=\frac{4}{3}x-2[/tex]
You can identify that:
[tex]b=-2[/tex]
By definition, the line intersects the y-axis when [tex]x=0[/tex], therefore, in this case, the line intersects the y-axis at this point:
[tex](0,-2)[/tex]
In order to get another, give a value to the variable "x" and evaluate to get the coorresponding value of "y".
If you substitute [tex]x=3[/tex] into the equation, you get:
[tex]y=\frac{4}{3}(3)-2\\\\y=4-2\\\\y=2[/tex]
Then, the line also passes trough this point:
[tex](3,2)[/tex]
Finally, you can plot the points and graph the equation (See the picture attached)
