Answer:
y=-5x-21
Step-by-step explanation:
So the slope will be the same, rewrite the equation with the same slope and substitute in the coordinates. Then, solve for b.
y=mx+b
-1=-5(-4)+b
-1=20+b Subtract 20 from each side
-21=b
The equation is y=-5x-21
The equation is y = -5x-21
If two lines are parallel to each other, then the slope of one line is same as the the slope of the another line.
i.e. we can able to compare the equations to find the slope.
Here, given equation of line is y = -5x+6
Required line is parallel to this given line, so we can say that the slope is same for the lines.
General equation of a line be y = mx+c , where m is the slope
Comparing given equation with this equation we get,
m = -5
The required line also passes through the point (-4, -1)
Now, we know that,
m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
⇒ -5 = [tex]\frac{-1-y}{-4-x}[/tex]
⇒ -5 = [tex]\frac{y+1}{x+4}[/tex]
⇒ y+1 = -5x-20
⇒ y = -5x-21
Hence the required equation.
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