Question

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope $=-11,$ passing through $(0,-3)$

Name: Problem 8, Chapter 3: Introductory Algebra for College Students
Uploaded: 2021-02-11T05:37:18-08:00
Duration: 2 min 29 s
Channel: Anas Venkitta
Description: Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope =-11, passing through (0,-3)

   Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope $=-11,$ passing through $(0,-3)$

Introductory Algebra for College Students

Robert Blitzer 6th Edition

Chapter 3, Problem 8

Instant Answer

Solved by Expert Anas Venkitta

02/11/2021

Step 1

We can use the point-slope form of the line which is given by $y - y_1 = m(x - x_1)$ where $m$ is the slope and $(x_1, y_1)$ is the point through which the line passes. Show more…

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Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope $=-11,$ passing through $(0,-3)$

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Key Concepts

Point-Slope Form

The point-slope form is an equation of a line that uses the slope and a specific point on the line. It is generally written as y - y? = m(x - x?), where m is the slope and (x?, y?) is a point on the line. This form is especially useful when you are given a point and the slope and need to write an equation for the line quickly.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope of the line and b represents the y-intercept, or the point at which the line crosses the y-axis. This form is widely used because it clearly shows both the steepness of the line and the point through which it intercepts the y-axis, making it easy to graph the line.

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