Write an equation of a line parallel to the line

Mathematics

1 answer:

Airida [17]3 years ago

4 0

Answer: y = -2x - 5

Step-by-step explanation:

The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.

from the equation given,

y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line

y = mx + c to get the value of , the y - intersect.

-3 = -2 x -1 + c

-3 = 2 + c

solve for c

c = -3 - 2

c = -5.

now , to have the equation of the line , we put c = -7 into the equation

y = mx + c

y = -2x - 5

Therefore the equation of the line parallel to the line

y = -2x + 8 is

y = -2x - 7

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