Q. Use point-slope form to write the equation of a line that passes through the point (18,14) with slope −712.Answer:
Recall Point-Slope Form: Recall the point-slope form of a line's equation. The point-slope form of a line's equation is given by y−y1=m(x−x1), where m is the slope and (x1,y1) is a point on the line.
Identify Slope and Point: Identify the slope m and the point (x1,y1) through which the line passes.The slope is given as m=−712, and the point is (x1,y1)=(18,14).
Substitute into Equation: Substitute the slope and the point into the point-slope form equation.Using the point-slope form, y−y1=m(x−x1), we substitute m=−712 and (x1,y1)=(18,14) to get the equation of the line.y−14=−712(x−18)
Check for Errors: Check the equation for any mathematical errors.The equation y−14=−712(x−18) correctly substitutes the slope and the point into the point-slope form. There are no mathematical errors.
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