Question

Which equation has a slope of –2 and passes through the point (5, 0)?

A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10

Answer 1

D. y = –2x + 10

Explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula
`y-y_1 = m (x-x_1)` and substitute values for
`m`,
`x_1`, and
`y_1`.

Since
`m` represents the slope, substitute -2 in its place. Since
`x_1` and
`y_1` represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

`y - 0 = -2(x-5)\\y = -2(x-5)`

2) Expand the right side of the equation to find the answer:

`y = -2(x-5)\\y = -2x+10`

So, option D is correct.