Respuesta :

SOLUTION:

General Equation: y = mx + b

.

Substitute slope = -2 into the equation:

y = -2x + b

.

Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

.

Substitute b = -2 into the equation:

y = -2x - 2

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Answer: y = -2x - 2

We are given

slope=m=-2

point is (-3,4)

so, we can use point slope form of line

[tex] y-y_1=m(x-x_1) [/tex]

Here ,

[tex] x_1=-3, y_1=4 [/tex]

now, we can plug values in formula

and we get

[tex] y-4=-2(x+3) [/tex]

now, we can solve for y

[tex] y-4=-2x-6 [/tex]

[tex] y=-2x-2 [/tex]..............Answer

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