Write an equation of the line passing through point P(0, −1) that is parallel to the line y = −2x+3.

Answer 1

slope is -2 (the coefficient of the x term) = rise over run = (y+1)/(x-0) =(y+1)/x =-2

-2x=y+1 or y+2x =-1 or in slope intercept form y=-2x-1

It's the parallel line given y=-2x+3 shifted down by 4 units. The line used to intersect the y-axis at y=3. Now, shifted down by 4, it intersects the y-axis at y=-1

To check the arithmetic, plug in the point into the new equation (0,-1) into y=2x-1 gives -1 = 2(0)-1