Question

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Answer 1

Choice A:
`y=-3x+4`

Explanation:

For this we have to find the slope and the y-intercept.

Finding slope:

For slope we can use this formula
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`.

`m=(7--2)/(2--1)`

There, now we solve it.

`m=(7--2)/(-1-2)=(9)/(-3)=-3`

Slope is -3.

Finding the y-intercept:

We will plug in an ordered pair and the slope to this formula

I'll be using the ordered pair (-1,7).

`y-y_1=m(x-x_1)\\y-7=-3[x-(-1)]\\y-7=-3x-3\\y=-3x+4`

So the y-intercept is 4.

And we already wrote the equation.