Example question: Solve 3 linear equation and graph.
5x + 6y = 14
6y = -5x + 14
y =
x +
y =
x +
compare to
y = mx + b
The slope m =
The y-intercept (0,b) is (0,
)
To graph the line get a couple or three points.
Let x=1 Let x=4 Let x=-2
5x + 6y = 14 5x + 6y = 14 5x + 6y = 14
5(1) + 6y = 14 5(4) + 6y = 14 5(-2) + 6y = 14
5 + 6y = 14 20 + 6y = 14 -10 + 6y = 14
6y = 9 6y = -6 6y = 24
y = 1.5 y = -1 y = 4
point(1,1.5) point(4,-1) point(-2,4)
Plot those three points:
Draw a line through those three points:
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-3y + x = 7 Do as above, solve for y to find the slope.
Find three points by substituting x = -2, 1, and 4
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-x + y = 1 Do as above, solve for y to find the slope.
Find three points by substituting x = -4, 0, and 3
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Edwin