Through (-2,3), parallel to y=-5/2x+2

Question

the (-5/2x) is a fraction of negative 5 over 2 with a x variable

Answer 1

Use point-slope form (Algebra 1)

y - 3 = (-5)(x + 2)

Answer 2

Parallel lines have the same slope but different y-intercepts.

y = mx+ b

y = (-5/2)x + b

Use the given point in the above equation and solve for b:

(3) = (-5/2)*(-2) + b

3 = 5 + b

Subtract 5 from both sides of the above equation:

-2 = b

So the equation of line parallel to the given line and passing through the point (-2,3) is:

y = (-5/2)x - 2