Lucy B.

asked • 05/26/17

find the equation of a line with a slope of 2 and passing through (1,2)

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Michael A. answered • 05/26/17

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If we use the point-slope form of the equation of a line, we can let (x0, y0) = (1, 2) and m = 2
y - y0 = m(x - x0)
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x
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Michael A.

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Alternatively, you could have used the slope-intercept form of the equation of a line, which is y = mx + b. We can use x = 1 and y = 2 since (1, 2) is a point on the line. The slope is represented by m, and it is 2. The letter b represents the y-intercept.
 
2 = 2(1) + b
2 = 2 + b
b = 0
 
The y-intercept is 0.
 
Now using the slope-intercept form, we have y = 2x + 0 or y = 2x as the equation of the line, which is the same answer we obtained using the point-slope form of the equation of a line.
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05/26/17

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