SOLUTION: what is the slope and y-intercept for 3x+3y=63

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Question 980934: what is the slope and y-intercept for 3x+3y=63
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=21

y=-x%2B21

slope, -1
y-intercept, 21


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A linear equation in standard form, but not simplified is given.
Multiply both sides by 1%2F3 simplifies into x%2By=21.
If you solve this for y in terms of x, you use steps
x%2By-x=21-x
x-x%2By=-x%2B21
0%2By=-x%2B21
highlight_green%28y=-x%2B21%29

You must recognize that this is the slope-intercept form of the linear equation, and know what the parts of the equation mean.
y=mx+b is a model format for slope intercept form.
m, means slope, vertical change divided by horizontal change;
b, means vertical axis intercept, the y value for when x is 0.