Question

Which equation is a point-slope form of the equation of this line?
A: −2x+y+5=0
B: y=2x−5
C: (y+1)=−1/2(x−2)
D: (y−1)=2(x+2)

Answer 1

The answer is D, it's in point slope and the slope is 2/1

Answer 2

*Hint: Point slope form is written as y - y1 = m (x - x1)
*Hint: (x1, y1) is any point on the line.

So, if we were to plug in the point (-2, 1) into the equation, the equation would look like:

y - 1 = m (x + 2)

And looking at the graph, you can tell that the slope of the equation is a positive two. Therefore the answer would be:

D. (y - 1) = 2 (x + 2)