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Graph the equation y = 2x + 4

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Answer:

The equation is given in slope-intercept form, which is written as y = mx + b, where m is the slope and b is the y-intercept. So, in the equation y = 2x + 4, 2 is the m-value and 4 is the b-value.

Slope

The slope is the amount a graph increases or decreases. Slope is equal to rise over run, which means the change in y divided by the change in x. The equation tells us that the slope, aka the m-value, is 2. So, the y-values increase by 2 every time the x-value increases by 1. When you are graphing the line, count 2 up and then 1 right to find the next point.

Y-Intercept

The y-intercept is the y-value where the graph intersects with the y-axis. So, according to the equation, the line will intersect with the y-axis at y = 4. This means that one of the coordinate pairs will be (0,4). We can use this point and the slope to graph out multiple points and draw the line.

Graph the equation y = 2x + 4-example-1
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