Use the point-slope form to write an equation of the line with the slope 5 and that passes through the point (7, 9).
A)y + 7 = 5( x - 9)
B)y - 9 = 5( x + 7)
C)y + 9 = 5( x - 7)
D)y - 9 = 5( x - 7)
E)y - 7 = 5( x - 9)

Question

Quizplus · Accepted Answer

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting m = 5 and (x1, y1) = (7, 9), we get y - 9 = 5(x - 7), which can be rearranged as y - 9 = 5x - 35 or y = 5x - 26. Therefore, the equation of the line with the slope 5 and passing through (7, 9) is y - 9 = 5(x - 7), which corresponds to choice D.

Use the Point-Slope Form to Write an Equation of the Line