Write the equation of a line that passes ghrough (-2,3) and parrallel to 5x-2y=8

y = x + 8

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 )

rearrange 5x - 2y = 8 into this form

subtract 5x from both sides

- 2y = - 5x + 8 ( divide all terms by - 2 )

y = x - 4 ← in slope-intercept form

with m =

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation

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

3 = - 5 + c ⇒ c = 3 + 5 = 8

y = x + 8 ← equation of parallel line

i would have to say it is c.