Question
Asked Oct 16, 2019
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74.) Find the equation of the line parallel to the line y=-8 and passing through the midpoint of segment joining (-4,2) and (-2,8).

78.) show that the x-intercept of the graph of Ax+By=C is (c/a,0)

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Expert Answer

Step 1

Given a line y = -8 and a line segment formed by joining points (-4, 2) and (-2, 8).

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To find a line parallel to the given line and passing through the midpoint of the given points

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Step 2

Note: Two lines are parallel if their slopes are equal. However, they have different y-intercepts. 

 

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For any equation of line y - mx + c, the slope of the equation is m. The slope of y -8 i.e. y = 0x (-8) is 0.

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Step 3

Further, given that the required line passes thr...

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Midpoint Between Two Points y,+y2 X1+x2 Midpoint 2 Midpoint of the two points (-4, 2) and (-2, 8) is -4 - 2 2+8 ' 2 = (-3,5) 2

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Math

Algebra

Equations and In-equations