0
3x + 4y = 5
To find the x-intercept, let x = 0
3(0) + 4y = 5
4y = 5
y = 5/4
The line passes through (0, 5/4), so y-intercept is 5/4.
To find x-intercept, let y = 0
3x + 4(0) = 5
3x = 5
x = 5/3
The line passes through (5/3, 0), so x-intercept is 5/3.
Plot (0, 5/4) and (5/3, 0). Draw a straight line through them.
Or,
3x + 4y = 5
3x - 3x + 4y = 5 - 3x
4y = -3x + 5
4y/4 = (-3x + 5)/4
y = (-3/4)x + 5/4
So the slope will be -3/4 and the y-intercept is 5/4; (0, 5/4)
We find the x-intercept when y = 0, so
0 = (-3/4)x + 5/4
0 - 5/4 = (-3/4)x + 5/4 - 5/4
-5/4 = (-3/4)x
(-5/4)/(-3/4) = [(-3/4)x]/(-3/4)
5/3 = x ; (5/3, 0)
Thus, the line passes through the points (0, 5/4) and (5/3, 0).
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1
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-5
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Sensible but hard to explain
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Which is easier to graph 3x plus 4y equals 8 or y equals -0.75x plus 2?
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3x plus 2y equals 7 2x plus 4y equals 18?
(-1, 5)
