Question

Which of the following equations describes the line shown below? Check allthat apply.(-6,2)(-1,-4)A. y-2= -6/5(x+6)B. Y+4 =-6/5 (x+1)c. y-4 =-5/6 (x-1)D. y-2=-5/6(x+6)E. Y+4 = -5/6(x+1)F. y-6 =-6/5 (x+2)

Answer 1

A and B

1) Let's find the slope for that linear equation, given point (-6,2) and (-1,-4), using a formula for that like this:

Now with the slope-intercept formula let's find the linear coefficient "b", plugging one point and the slope into that formula:

y=mx+b point (-6,2)

y=mx+b

2=-6/5(-6)+b

2=36/5+b Flipping it

b=2-36/5

b=10/5-36/5

b=-26/5

2) In the options, we have to use another form for the linear equation:

y -y_0 =m(x-x_0)

So let's plug into that, using the point (-1, -4) and (-6,2)

2.1) (-1, -4)

y-(-4)=-6/5 (x-(-1))

y +4 =-6/5(x+1)

2.2) (-6, 2)

y-2=-6/5(x+6)

3) So the answer is A and B