Question

How does the graph of y=4x+7 differ from the graph of y=4x

Answer 1

Find any two points on the line.

x=0⇒y=4(0)+7=7⇒ Point 1: (0,7)

x=−1⇒y=4(−1)+7=3⇒ Point 2: (−1,3)

Step 2: Plot the two points from Step 1

Step 3: Draw a straight line through both points

Answer 2

It is located 7 units up.

Explanation:

As you can see both graphs are linear since they don´t have quadratic or exponential terms, so both graphs are linear and can be determined, now the point where the graphs intersect with the Y axis will be different, because when the value of X is 0, in the first one the Y equals 7 and in the other the Y equals 0, so the lines are paralallel but are 7 units apart from eachother in the Y axis.