Question

Graph the equation below by plotting the y-intercept and a second point on the line. (Zoom in if blurry)

Answer 1

Answer: The graph is attached.

Explanation:

The Slope-Intercept form of the equation of the line is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept

Given the following equation in Slope-Intercept form:

`y=(4)/(3)x-2`

You can identify that:

`b=-2`

By definition, the line intersects the y-axis when
`x=0`, therefore, in this case, the line intersects the y-axis at this point:

`(0,-2)`

In order to get another, give a value to the variable "x" and evaluate to get the coorresponding value of "y".

If you substitute
`x=3` into the equation, you get:

`y=(4)/(3)(3)-2\\\\y=4-2\\\\y=2`

Then, the line also passes trough this point:

`(3,2)`

Finally, you can plot the points and graph the equation (See the picture attached)