Finding the slope of a line

MathematicsLinear EquationsEasy

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What is the slope of this line?

This question includes visual content: A Cartesian coordinate system graph with a grid. The x-axis ranges from -10 to 10 and the y-axis ranges from -10 to 10. A blue line passes through the y-axis at (0, 4) and the x-axis at (10, 1).

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Step by Step Written Solution

1
Step 1

To find the slope of this line, we need to pick two points where the line crosses the grid intersections perfectly.

Finding the Slope of a Line

2
Step 2

Let's identify two clear points. I see the y-intercept at zero comma four. Let's mark that as our first point.

(0, 4)
3
Step 3

Scanning the line to the right, it passes through another grid corner at x equals ten and y equals one. Let's mark that as point two.

4
Step 4

The formula for slope is rise over run, or the change in y divided by the change in x.

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
5
Step 5

Let's plug in our values. Our y values go from four down to one, so the change in y is one minus four.

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About This Question

Subject
Mathematics
Topic
Linear Equations
Difficulty
Easy
Question Type
Open Ended

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