Question

What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)

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Answer 1

y=-2x+2

Explanation:

y-y1=m(x-x1)

y-(-6)=-2(x-4)

y+6=-2(x-4)

y=-2x+8-6

y=-2x+2

Answer 2

`y + 6 = -2 (x-4)`

Explanation:

Point-slope formula is represented by the equation
`y-y_1 = m (x-x_1)`. When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the
`m`,
`x_1`, and
`y_1` for real values.

The
`m` represents the slope of the line. Since we know the slope is -2, substitute -2 for
`m`. The
`x_1` and
`y_1` represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for
`x_1` and -6 for
`y_1`. This gives the following answer and equation:

`y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)`