Q. A line has a slope of 6 and passes through the point (10,9). What is its equation in point-slope form?
Identify Point-Slope Form: Identify the point-slope form of a linear equation.The point-slope form of a linear equation is given by the formula y−y1=m(x−x1), where m is the slope of the line and (x1,y1) is a point on the line.
Substitute Slope and Point: Substitute the given slope and point into the point-slope form.We are given the slope m=6 and the point (10,9). Substituting these values into the point-slope form, we get y−9=6(x−10).
Check for Simplification: Check for any simplification needed.In this case, there is no simplification needed because the equation y−9=6(x−10) is already in the correct form.
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