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PLEASE HELP QUICKLY!! WILL GIVE A BRAINLY.

A line has a slope of - 2 and passes through the point (- 2, 8) . Which is the equation of the line?

A. Y = - 2x - 2
B. Y = - 2x + 4
C. Y = - 2x + 14
D. Y = 8x - 2

Respuesta :

Answer:

y=-2x+4

Step-by-step explanation:

y=mx+b

m is the slope so the equation looks like this:

y=-2x+b

Now we just need to find b or the y-intercept

so distribute -2 into x and 8 into y (x,y) (-2,8)

8=-2(-2)+b

Multiply -2 and -2 which is 4

8=4+b

Subtract by 4 on both sides:

b=4

So the equation is

y=-2x+4

Hope this helps!

SenorMathWiz

Answer:

B y = -2x + 4

Step-by-step explanation:

The equation of a line is put in slope intercept form: y = mx + b

Where m = slope and b = y intercept

We want to find the equation of a line that has a slope of -2 and passes through the point ( -2 , 8 )

We are given the slope ( m = -2 ) and a point it goes through and we want to find the equation in slope intercept form

So far we have y = -2x + b

To complete the equation we need to find the y intercept ( b )

We can do this by plugging the given x and y values of the point that the line passes through and solving for b

given point it passes through: (-2,8)

x = -2 and y = 8 ( m = -2 )

Plug in values into y = mx + b and solve for b

8 = -2(-2) + b

multiply -2 and -2

8 = 4 + b

subtract 4 from both sides

4 = b

So the y intercept is 4 ( b = 4 )

Hence the equation of the line that has a slope of -2 that passes through the point (-2,8) is y = -2x + 4

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