Chapter 3: Q 160. (page 291)

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.
Slope $\frac{- 3}{4}$ and y-intercept $(0, - 2)$ .

Short Answer

Expert verified

Slope intercept form of the line is $y = \frac{- 3}{4} x - 2$ .

Step by step solution

Step 1. Given information.

Slope of a line is $\frac{- 3}{4}$ and y-intercept is $(0, - 2)$ .

Step 2. Identify the slope and points.

Slope is $\frac{- 3}{4}$ and point $(x_{1}, y_{1}) = (0, - 2)$ .

Step 3. Substitute the values in the point-slope form.

Point slope form is $y - y = m (x - x_{1})$ .

Now, substitute the values.

localid="1644384521540" $\begin{array}{rcl} y - (- 2) & = & \frac{- 3}{4} (x - 0) \\ y + 2 & = & \frac{- 3}{4} x \end{array}$

Step 4. Write the slope-intercept form.

Equation of the line in slope-intercept form is $y = \frac{- 3}{4} x - 2$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.
Slope $\frac{- 3}{4}$ and y-intercept $(0, - 2)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Identify the slope and points.

Step 3. Substitute the values in the point-slope form.

Step 4. Write the slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Pure Maths

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.Slope-34and y-intercept0,-2.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Identify the slope and points.

Step 3. Substitute the values in the point-slope form.

Step 4. Write the slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Pure Maths

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.
Slope $\frac{- 3}{4}$ and y-intercept $(0, - 2)$ .