Writing Equations of Parallel and Perpendicular lines

Writing Equations of Parallel and Perpendicular lines

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Write the equation of the line with a slope of 5 and passes through the point (1,6).

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Write the equation of the line that passes through the points (2,4) and (8,10)

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Write the equation of the line that is parallel to the line y=-2x+5 and passes through the point (0, 6)

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Write the equation of the line parallel to y=8 and passes through the point (-4, 7)

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Write the equation of the line perpendicular to -5x+y=10 and passes through the point (-15, 2)

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Write the equation of the line that is perpendicular to x=3 and passes through the point (5, -9)

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Find the midpoint M that is on the line segment with endpoints A(2, 8) and B(4, 6).

​1. Use the slope formula to find the slope between the 2 points.

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​2. Since the lines are perpendicular, m= the opposite reciprocal of the slope between the 2 points.

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​3. Use the midpoint formula to find the midpoint between the 2 points.

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​4. Use the m (step 2) and the midpoint (x, y) to find the b (y-intercept) using the equation y=mx+b.

5. Write the equation.

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Write the equation of the perpendicular bisector of the line that passes through the points (9,8) and (-1,8)