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klasskru [66]
2 years ago
6

 find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equa

tion in point slope form
Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0
<h3>hello!</h3>

=====================================================

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

\longrightarrow\sf{y-(-8)=3(x-1)}

Simplify:

\longrightarrow\sf{y+8=3(x-1)}

and we're done!

=========================================================

<h3>note:-</h3>

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

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Source: https://www.1728.org/distance.htm

(Scroll to the bottom of the page.)

Step-by-step explanation:


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