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Slope intercept form is y = mx + b. Point slope form is y - y1 = m(x - x1).
Here is an example of changing slope-intercept form to point-slope form: Change y = 3x + 2 to point slope form:
y = 3x + 2
Subtract 2 from each side:
y -2 = 3x
The equation y-2 = 3x is in point-slope form. It can be rewritten as
y-2 = 3(x-0), showing that the line passes through the point (0,2), but is doesn't need to be.
(The x1 and y1 represent one point on the line, it doesn't matter which one. Therefore, there are many different equations for the same line in point-slope form. For example, the equation y -2 = 3x is the same line as the equation y - 11 = 3(x - 3), which is the same line as the equation y + 4 = 3(x + 2).)
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How do you change 3.025 to a fraction in simplest form?
0.025 is 1/40, so add 3 to it, and you get 3 1/40, which is in the simplest form.
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Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side. e.g: y = (1/4)x + 2 Multiply both sides by 4: 4y = x + 8 Move everything onto one side: 4y - x - 8 = 0
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In slope intercept form, m IS the slope. y = mx + b slope is change in height divided by change in x direction.
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y = 2x + 1.
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y=mx+b y0=mx0+b 5=3*2+b b=5-5=0 y=3x+0
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The equation of the line is of the form y = 3x + c where c is a constant. The point (4,9) is on the line, so substituting x=4, y=9 in the equation, 9 = 3*4 + c = 12 + c so c = -3 So the equation of the line is y = 3x - 3
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