Question

How do you graph the equation y = 2x + 6?

Answer 1

In the above question, you were asked to graph the equation y = 2x + 6. According to the slope-intercept form which is y = mx +c, where m is slope and c is the y-intercept. From that very same slope-intercept form you can identify that 2 is the slope and 6 is the y-intercept. So let us see how we can solve this problem.

Complete Step by Step Solution:
From the slope-intercept form, we can easily identify that 2 is the slope, and 6 is the y-intercept. For doing the graph we need a straight line and form a straight line, we need at least two points.
We have one point from the equation that is (0, 6), but as x is 0, it lies on the axis, so we have to take another two-point. To find another point we will need any value of x except 0 because it is already taken. Let us suppose x = -1.
So, for x = -1, y = -2 + 6 = 4. So the point is (-1, 4). After connecting both the points we will get a graph like this.

The orange line above is (-1, 4)

Note:
In this question the equation was y = 2x + 6. So, we concluded that the y-intercept is 6 when x is 0. But that was not sufficient to draw the line on the graph because the line would have been on the y-axis. So we suppose the value of x is -1 and calculated y as 4. After which we plotted the graph.