Questions: Graph the line with y-intercept 5 and slope -1/5.

Transcript text: Graph the line with $y$-intercept 5 and slope $-\frac{1}{5}$.

Solution

Solution Steps

Step 1: Identify the y-intercept

The y-intercept is given as 5. This means the line crosses the y-axis at the point (0, 5).

Step 2: Use the slope to find another point

The slope is given as -1/5. This means that for every 5 units we move to the right along the x-axis, we move 1 unit down along the y-axis. Starting from the y-intercept (0, 5), if we move 5 units to the right, we arrive at x = 5. Moving 1 unit down from y = 5, we arrive at y = 4. So, another point on the line is (5, 4).

Step 3: Plot the line

Plot the two points (0,5) and (5,4) on the graph and draw a straight line through them.