Question

Write the equation of the line that has a slope of -2 and goes through the point (-3,4).

Answer 1

General Equation: y = mx + b

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Substitute slope = -2 into the equation:

y = -2x + b

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Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

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Substitute b = -2 into the equation:

y = -2x - 2

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Answer: y = -2x - 2

Answer 2

We are given

slope=m=-2

point is (-3,4)

so, we can use point slope form of line

`y-y_1=m(x-x_1)`

Here ,

`x_1=-3, y_1=4`

now, we can plug values in formula

and we get

`y-4=-2(x+3)`

now, we can solve for y

`y-4=-2x-6`

`y=-2x-2`..............Answer