Question

write an equation in slope-intercept form of the line that passes through the given point and parallel to the graph of the given equation (-3,5); y=3x+5

Answer 1

Hello and Welcome to Openstudy! :)
slope intercept form is y = mx + b
where m = slope and b = y-intercept
parallel lines have equal slope
so if a line if parallel to y = 3x + 5
then the slope = 3
follow so far? :)

Answer 2

you would then get y = 3x + b for your new equation so far.
then you can temporarily plug in the given point (-3, 5)
so solve for b when given (5) = 3(-3) + b

Answer 3

then once you get b you can plug it back into y = 3x + (b)
and get the answer :)