Question
Asked Nov 17, 2019
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(6,6); parallel to 2x-5y=-7

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Expert Answer

Step 1

Two lines are said to be parallel when they have the same slopes.
Equation of a line in slope-intercept form is given by y = mx + c where m is the slope and c is the y-intercept.
Writing the equation in slope-intercept form:

Hence the slope of the given line is 2/5.
Therefore the slope of the required line is also 2/5.

2х - 5у %3D-7
2х - 5у -2х %3D—-7-2х
-5у%3D -2х-7
-5у -2х -7
-5
-5
-5
2 7
У3— х+-
5
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2х - 5у %3D-7 2х - 5у -2х %3D—-7-2х -5у%3D -2х-7 -5у -2х -7 -5 -5 -5 2 7 У3— х+- 5

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Step 2

Equation of a line passing through (x1,y1) and having slope m is give...

т(x- х,)
у -у — т(х-х,)
2
у-(6)-(- (6)
5
5(у -6) - 2(х - 6)
5у-30 %3D 2х - 12
2х - 5у %3D -30+ 12
2х - 5у %3D— 18
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т(x- х,) у -у — т(х-х,) 2 у-(6)-(- (6) 5 5(у -6) - 2(х - 6) 5у-30 %3D 2х - 12 2х - 5у %3D -30+ 12 2х - 5у %3D— 18

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