Question

A line has this equation: y = x + 7
Write an equation for the parallel line that goes through (3.-5).
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Answer 1

The equation of line parallel to y = x + 7 is y=x-8

Further explanation:

Given

y = x+7

The co-efficient of x in point-slope form of equation is the slope of the line

Let m1 be the slope of this line

Then

$m_1=1$

The line parallel to this line will also have same slope

The standard form of point-slope form is:

$y=mx+b$

Putting the value of slope

$y=x+b$

To find the value of b, put (3,-5) in equation

$-5=3+b\\b= -5-3\\b=-8$

Putting the values of b and m in standard form

$y=x-8$

Hence,

The equation of line parallel to y = x + 7 is y=x-8

Keywords: Parallel lines, point-slope form of line

Learn more about parallel lines at:

• brainly.com/question/5059091
• brainly.com/question/4939434

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