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

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

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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.