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

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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) About Me  (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 3+x+%2B+4+y+=+12 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F4.
  • 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.
graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+3-8%2C+3%2B8%2C+-0.75%2Ax%2B3+%29+



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

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J