Question

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises $1-28 .$ Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope $=-1,$ passing through $\left(-\frac{1}{2},-2\right)$

Name: Problem 9, Chapter 3: Introductory and Intermediate Algebra for College Students 4th
Uploaded: 2020-07-08T18:46:46-08:00
Duration: 2 min 22 s
Channel: Jackie Heldman
Description: Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises 1-28 . Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope =-1, passing through (-(1)/(2),-2)

   Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises $1-28 .$ Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope $=-1,$ passing through $\left(-\frac{1}{2},-2\right)$

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Chapter 3, Problem 9

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Solved by Expert Jackie Heldman

07/08/2020

Step 1

In this case, we are given that the slope $m = -1$ and the point is $\left(-\frac{1}{2},-2\right)$. Show more…

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Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises $1-28 .$ Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope $=-1,$ passing through $\left(-\frac{1}{2},-2\right)$

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Key Concepts

Slope-Intercept Form

Slope-intercept form represents a linear equation in the format y = mx + b, where m is the slope and b is the y-intercept. This form allows you to easily understand the slope and the point at which the line crosses the y-axis, making it convenient for graphing and interpreting the behavior of the line.

Slope

The slope of a line, denoted by m, measures its steepness or inclination. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. Understanding the slope is fundamental for constructing and analyzing linear equations.

Point-slope Form

Point-slope form is a method of writing the equation of a line when you know its slope and one point on the line. It is given by the formula y - y? = m(x - x?), where m is the slope and (x?, y?) is the known point. This form is especially useful for quickly formulating the equation based on basic information.

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