Problem 38 - Algebra 1: Concepts and Skills

Question

Graph the function. $$ h(x)=5 x-6 $$

Step-by-Step Solution

Answer

The graph of the function \(h(x) = 5x - 6\) is a straight line with a slope of 5 and a y-intercept at -6.

Step 1: Identify the slope and y-intercept

Look at the function \(h(x) = 5x - 6\). Here, the slope \(m = 5\) and y-intercept \(c = -6\)

Step 2: Plot the y-intercept

Start by plotting a point on the y-axis at \(c = -6\)

Step 3: Use the slope to find the next point

The slope is the rise over run, which means each step across (either right or left) on the x-axis would lead to a corresponding 5 steps upward or downward on the y-axis. From the y-intercept point, take a step to the right on the x-axis and 5 steps up to get the next point

Step 4: Draw the line

Draw a straight line through the two points. This line is the graph of the function \(h(x) = 5x - 6\)