Question

Choose the equation below that represents the line that passes through the point (7, −2) and has a slope of −3.

y − 2 = −3(x + 7)
y + 7 = −3(x − 2)
y + 2 = −3(x − 7)
y − 7 = −3(x + 2)

Answer 1

Hello,

y+2=-3*(x-7)

Answer C

Answer 2

Therefore, Option 3rd is correct that is
`y+2=-3(x-7)` which is required equation of a line.

Explanation:

We have given a point through which line is passing that is (7,-2) and slope is also given which is -3

We have a general equation of line which is

`(y-y_1)=m(x-x_1)`

Here,
`m=-3`

And
`y_1=-2,x_1=7` on substituting the values in the given formula for equation of a line we will get

`y-(-2)=-3(x-7)`

`\Rightarrow y+2=-3(x-7)`

Therefore, Option 3rd is correct that is
`y+2=-3(x-7)` which is required equation of a line.