Question
Reduce the equations to slope-intercept form and find the slope and the $y$-intercept. Sketch each line.$$4 y=6 x-9$$
Step 1
The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. To do this, we divide both sides of the equation $4y = 6x - 9$ by 4 to isolate $y$: $$y = \frac{6x}{4} - \frac{9}{4}.$$ Show more…
Show all steps
Your feedback will help us improve your experience
Lucas Finney and 78 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the slope and the $y$ -intercept of each line whose equation is given. $$12 x-6 y=9$$
Introduction to Graphing and Functions
Slope-Intercept Form
Write the equation in slope-intercept form. Then graph the equation. $$3 x-6 y=9$$
Graphing Linear Equations and Functions
Graphing Lines Using Slope-Intercept Form
Find an equation of the line through each given pair of points. Give the answer in slope-intercept form. See Example 6. $$ (3,-9) \text { and }(-4,-9) $$
Linear Equations and Inequalities in Two Variables
Three Forms for the Equation of a Line
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD