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A line has a slope of 1/2 and passes through the point (6,7). Write its equation in slope-intercept form.

User Mark McKim
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1 Answer

3 votes

Answer:

y = 1/2x +4

Explanation:

You want the slope-intercept form equation of the line through point (6, 7) with slope 1/2.

Point-slope equation

The point-slope equation of the line with slope m through point (h, k) is ...

y -k = m(x -h)

For the given slope and point, this equation is ...

y -7 = 1/2(x -6)

Slope-intercept equation

Adding 7 and simplifying gives the desired form:

y = 1/2x -3 +7

y = 1/2x +4 . . . . . . desired equation

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User Fasermaler
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