Mathematics: What is an equation of the line that passes through the point (5,-3) and is parallel to the line x+5y=45?

What is an equation of the line that passes through

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10.01.2022

$\btext{x+5y=-10}$

Step-by-step explanation:

When two lines are parallel,their slopes are equal.

Given line is x+5y=45 .

Let be the slope of the line.

m=-5 .

It is given that the line passes through the point (5,-3) .

The equation of the line passing through $(x_{1},y_{1})$ and has slope is $y-y_{1}=m(x-x_{1})$

$x_{1}=5$

$y_{1}=-3$

m=-5

So, the equation is y-5=-5(x+3)

which simplifies to x+5y=-10

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