Question

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Which of the following is the point and slope of the equation y - 15 = -2(x + 1)?



(-1, 15), -2



(-1, 15), 2



(1, 15), -2



(-1, -15), -2

Answer 1

The first option is the point-slope form for the given point.

Explanation:

Step 1:

As we need to calculate the slope, m and coordinate we use the point-slope form to find m and the coordinate.

The point-slope form is
`\left(y-y_(1)\right)=m\left(x-x_(1)\right)`,

the given equation is
`y-15=-2(x+1)`.

Step 2:

By comparing both the equations, we determine the values of
`x_(1), y_(1)` and m.

`\left(y-y_(1)\right)= (y-15)`, so the y coordinate is 15.

`\left(x-x_(1)\right) = (x+1)`, the x coordinate is;
`-x_(1) =1, x_(1) = -1`, so the x coordinate is -1.

By comparing, we get m = -2.

So the slope is m = -2 and the coordinates of the point is (-1, 15) which is the first option.