Question

Which of the following are equations for the line shown below? Check all thatapply(-3,3)(-1,-3)

Answer 1

We have the next points

(-3,3)=(x1,y1)

(-1,-3)=(x2,y2)

In order to calculate the equation we need to find the slope of the line

`m=(y_2-y_1)/(x_2-x_1)=(-3-3)/(-1+3)=(-6)/(2)=-3`

The slope of the line is -3

Then we will calculate the equation of the line using the slope-point form

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

we substitute the values

`y-3=-3(x+3)`

we isolate the y in order to obtain the equation of the line

`\begin{gathered} y=-3x-9+3 \\ \end{gathered}`

The equation of the line given is

`y=-3x-6`

another way to find the answer is using the other point

`y+3=-3(x+1)`

Therefore the correct answers are A and B