Chapter 2: Q31. (page 102)

Graph the line passing through the given point with the given slope.
$(- 5, 2), m = - \frac{1}{4}$

Short Answer

Expert verified

The graph of the line is provided below.

Step by step solution

Step-1 – Apply the concept of slope

The slope of the line passing through the points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ is expressed below.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step-2 –Obtain the other ordered pair

Consider the provided ordered pair through which line passes $(- 5, 2)$ along with the slope $m = - \frac{1}{4}$ .

To obtain the other ordered pair through which the line passes interpret the slope. The slope is negative this means the line rises to the left.

Now, from the ordered pair $(- 5, 2)$ move 1 unit down (on y-axis) and 4 units right (on x-axis).

Therefore, the obtained ordered pair is $(- 1, 1)$ .

Step-3 – Graph the line

Plot the obtained ordered pairs $(- 5, 2)$ and $(- 1, 1)$ on Cartesian plane to obtain the graph of the line with slope $m = - \frac{1}{4}$ .

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Graph the line passing through the given point with the given slope.
$(- 5, 2), m = - \frac{1}{4}$

Short Answer

Step by step solution

Step-1 – Apply the concept of slope

Step-2 –Obtain the other ordered pair

Step-3 – Graph the line

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Column A	Column B
The slope of linem	1

Graph the line passing through the given point with the given slope.-5,2,m=-14

Short Answer

Step by step solution

Step-1 – Apply the concept of slope

Step-2 –Obtain the other ordered pair

Step-3 – Graph the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Study anywhere. Anytime. Across all devices.

Graph the line passing through the given point with the given slope.
$(- 5, 2), m = - \frac{1}{4}$