Find an equation of a line with slop -4 snd containing the point (-2,-1)

y = -4x - 9

Step-by-step explanation:

The formula to calculate the slope of a line is

m = (y - y1) / (x - x1)

And the gradient form of the equation of a line is given as

y = mx + c

y and x represent coordinates. Points are represented as (x, y)

In this question, we are given the value of m to be

m = -4

y1 = -1

x1 = -2

Now we have

m = [y - (-1)] / [x - (-2)]

-4 = (y + 1) / (x + 2)

We then cross multiply to get

y + 1 = -4(x + 2)

y + 1 = -4x + (-8)

y + 1 = -4x - 8

y = -4x - 8 - 1

y = -4x - 9

Therefore the equation of the equation of a line with slope -4 and containing the point (-2,-1) is

y = -4x - 9

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