Which graph represents the function y = 2x - 4?

Solution:

We will use the concept of slope and intercept of linear equations in order to plot the curve.

The slope-intercept equation of a line is y = mx + c, where m is the slope of the line and c is the y-intercept. 

On comparing the given equation y = 2x - 4 with the general form, we have

The slope of the curve is 2 and its y-intercept is -4. 

Let us take two points on the line y = 2x - 4 that will help us to plot the graph.

Since the y-intercept of the given line is -4, therefore the line y = 2x - 4 passes through (0, -4)

Substitute 0 for y in y = 2x - 4.

0 = 2x - 4

2x = 4

x = 2

So, the line passes through (2, 0)

Plot the two coordinate points (2, 0) and (0, -4) on the graph and join the points to obtain the graph of the line y = 2x - 4.

Therefore, the graph y = 2x – 4 of the function is shown below.

Thus, the graph of y = 2x - 4 is shown.

Which graph represents the function y = 2x - 4?

Summary:

The slope of the curve is 2 and its y-intercept is 4.