Question

Use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.) Point$\quad$ Slope $(7,-2) \quad m=\frac{1}{2}$

Name: Problem 17, Chapter 1: Precalculus with Limits : A Graphing Approach
Uploaded: 2020-09-06T20:04:04-08:00
Duration: 1 min 15 s
Channel: Amy Jiang
Description: Use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.) Point Slope (7,-2) m=(1)/(2)

   Use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.)
Point$\quad$ Slope
$(7,-2) \quad m=\frac{1}{2}$

Precalculus with Limits : A Graphing Approach

Ron Larson, Robert… 5th Edition

Chapter 1, Problem 17

Instant Answer

Solved by Expert Amy Jiang

09/06/2020

Step 1

We can use the point-slope form of a line to find the equation of the line. The point-slope form is $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line. Show more…

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Use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.) Point$\quad$ Slope $(7,-2) \quad m=\frac{1}{2}$

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Key Concepts

Slope

The slope of a line is a measure of its steepness and direction. It represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line, and it's a fundamental concept in analytic geometry used to describe linear behavior.

Point-Slope Form

The point-slope form is a method for writing the equation of a line when you know one point on the line and its slope. In this form, the equation is structured as y - y? = m(x - x?), making it easy to relate given numerical values to the linear equation.

Using Slope to Determine Points

Once the slope and a specific point on the line are known, additional points can be found by applying the rise and run defined by the slope. This involves adding or subtracting these values from the coordinates of the known point, which is a key technique in graphing and understanding linear relationships.

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