We have the linear function:
We can express it in slope-intercept form as:
Then, we know that the slope is m=2/3 and the y-intercept is b=-7.
To graph the function using the slope and y-intercept we have to find 2 points and draw the line that passes through them.
One of the points is given by the definition of the y-intercept: (0, -7).
Using the slope, we can assign a value to x, like x=3, and calculate the value of y:
Then, the second point is (3,-5).
We can now graph the linear function as: