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!