Question

Graph the function. $$ h(x)=2 x-8 $$

Short answer

The graph of the function \(h(x)=2x-8\) is a straight line with slope 2 and y-intercept at -8.

Step-by-step solution

Identify the slope and y-intercept

From the function \(h(x)=2x-8\), we see that the slope \(m\) is 2, and the y-intercept \(b\) is -8.

Plot the y-intercept

Start by plotting the point (0,-8) on the graph. This point represents the y-intercept.

Use the slope to find the next point

The slope of 2 means that for every 1 unit we move to the right on the x-axis, we go up 2 units on the y-axis. Starting from the y-intercept, move one unit to the right and two units up to find the point (1,-6). Plot this point on the graph.

Draw the line

Through the two points (0,-8) and (1,-6), draw a straight line that extends beyond these points. This line represents the function \(h(x)=2x-8\).