write an equation of the line that passes through point p and is parallel to the line with the given equation P(0,-1), y=-2x+3 if you plz could help me figure out this problem and explain it so i can do the rest of them?

Question

write an equation of the line that passes through point p and is parallel to the line with the given equation P(0,-1), y=-2x+3  if you plz could help me figure out this problem and explain it so i can do the rest of them?

ranga · Answer

y = -2x + 3
Compare this to y = mx + b where m is the slope.
The slope of y = -2x + 3  is  -2.

Parallel lines all have the same slope.
Therefore, a line parallel to y = -2x + 3 will also have a slope of -2.
This parallel line passes through (0,-1).

The point-slope form of a line is:  y - y1 = m(x - x1)
where (x1, y1) is the point it passes through and m is the slope.
Here (x1,y1) is (0,-1) and m = -2.  Substitute in y - y1 = m(x - x1) and simplify.