Find the equation of the line parallel to y=x-3 that also intersects the points (3,-2)

y = x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 3 ← is in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation of the parallel line.

To find c substitute (3, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = x - 5 ← equation of parallel line

you have 6 cupcakes