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Graph this line using the slope and y-intercept: y= 7 5 x Click to select points on the graph

Graph this line using the slope and y-intercept: y= 7 5 x Click to select points on-example-1

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By identifying the slope and y-intercept and using them to plot two key points, we were able to graph the line y = 7/5x. Remember, the slope tells you how steeply the line rises or falls, and the y-intercept tells you where the line crosses the y-axis.

Here's how to graph the line y = 7/5x using the slope and y-intercept:

1. Identify Slope and Intercept:

The equation is in slope-intercept form, y = mx + b, where:

m is the slope, which tells you how steeply the line rises or falls (positive for up, negative for down).

b is the y-intercept, which is the point where the line crosses the y-axis.

In this case, the slope (m) is 7/5, meaning the line rises 7 units for every 5 units it moves to the right. The y-intercept (b) is 0, indicating the line crosses the y-axis at (0, 0).

2. Plot the Y-Intercept:

Since the line passes through the point (0, 0), mark that point on the graph. This is your starting point.

3. Use the Slope to Plot Another Point:

Remember the slope tells you rise over run. Here, it's 7 up for every 5 to the right.

Rise: Move 7 units up from the y-intercept (0, 0).

Run: Move 5 units to the right from the y-intercept (0, 0).

This brings you to the point (5, 7). Mark this point on the graph.

4. Draw the Line:

Connect the y-intercept (0, 0) and the point you just plotted (5, 7) with a straight line. This is the graph of y = 7/5x!

Graph this line using the slope and y-intercept: y= 7 5 x Click to select points on-example-1
User Geasi Puozzo
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