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what an equation in slope-intercept form for the line that passes through the points (-6,-4) with a slope of 5.

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John R. | John R: Math, Science, and History TeacherJohn R: Math, Science, and History Teach...
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The point slope formula is:  y -y1 = m(x - x1)

To use the point slope formula, substitute the slope for m, and the coordinates of the point for x1 and y1

 

y - y1 = m(x - x1)            Point-slope formula

y - (-4) = 5(x - (-6))       Substitution

y + 4 = 5(x + 6)             Subtracting negatives means adding positives

y + 4 = 5x + 30              Distribute the 5

y + 4 - 4 = 5x + 30 - 4    Subtract 4 from each side

y = 5x + 26                    Simplify