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kicyunya [14]
3 years ago
11

Find the midpoint of the segment with the given endpoints (7, -7) and (-8,4)

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

1,3

Step-by-step explanation:

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The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

(x1, y1) is the intercept

Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0


Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

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Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

Learn more on equation of a line here: brainly.com/question/13763238

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