Question

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

Answer 1

SOLUTION:

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