Question

identify an equation in point-slope form for the line that is parrallel to y=1/2x-7 that passes through (-3,-2)​

Answer 1

The correct answer would be D. y+2=1/2(x+3)

Explanation:

Point slope form can be written as y-y1=m(x-x1)

Since m is slope, we can see from the equation in slope intercept form that the slope is 1/2, so we can insert that into our equation. The rest is simply the process of inserting the values from the point on the graph into the equation.

Since y1=-2, we could put that as y--2 or y+2, since negatives cancel out.

Then we can replace x1 with -3, resulting in x--3 or x+3.

So our resulting equation is:

D.y+2=1/2(x+3)

Hope this helps!