SOLUTION: Find the slope and intercepts of 3x+4y=12. Sketch a graph.

Question 215454This question is from textbook
: Find the slope and intercepts of 3x+4y=12. Sketch a graph. This question is from textbook

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Find the slope and intercepts of 3x+4y=12. Sketch a graph.

Step 1. The slope intercept form is given as y=mx+b where m is the slope and b is the y-intercept at point (0,b).

Step 2. Here's a description of this linear equation.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/3 = 4.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/4 = 3.
Slope is -3/4 = -0.75.
Equation in slope-intercept form: y=-0.75*x+3.

Step 3. ANSWER: So the slope m= -3/4 and the y-intercept is 3.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
Find the x intercept and y intercepts, slope and... (answered by rfer)

find the slope and y intercept of the line and use the slope and y intercept to sketch a... (answered by ewatrrr)

Find the intercepts and sketch the graph of each line: 1. x + 2y = 2 2. 3x - y = 6... (answered by ikleyn,math_tutor2020)

find the x intercept, if any, and y intercept, if any, of the line, use the intercepts to (answered by ewatrrr)

3x-4y=12 (sketch and... (answered by HyperBrain)

sketch graph of equation:... (answered by elima)

find the slope of a line parallel to the graph of each equation... (answered by Gogonati)

find the slope of the line and sketch the graph... (answered by stanbon)

Find the slope of the line and sketch its graph. 3x - 5y = -11 (answered by onlinetutor365.com)