For the linear equation y=2x+4, if x increases by 1 point, how much will y increase?

1 Answer
Jul 23, 2016

Y will increase by 2.

Explanation:

graph{y=2x+4 [-8.71, 16.6, 0.49, 13.13]}

The graph above is the graph to the equation y=2x+4.

To solve this, I grabbed a random coordinate from the graph. The coordinates were (1,6). I plugged them into the equation.

6=2(1)+4

Great! We know the equation works fine. But the question is what will happen to y if x increased by 1. So what did I do? I increased x by 1 and kept the y as a variable so I could solve for it:

y=2(2)+4

y=4+4

y=8

Now let's check our work. Find the 2 on the x-axis and go up until the line runs in the corner of a square. And where could that be? On the number 8 on the y-axis! When x was 1, y was 6. When x was 2, y was 8!

When x increased by 1, y increased by 2!