The slope-intercept form is written under the form of
y=mx+b where m represent the slope and y represent y-intercept. In this case, we know that the m is 8, but we don't have b yet. To find the answer, substitute (0,5) into an equation where y=5 and x=0
y=mx+b
y=8x+b
5=8(0)+b
5=b, so we have the complete y-intercept form which is y=8x+b
Or
You can you this
y-y1=m(x-x1) where point (x1,y1) represent point (0,5) in this case which led to:
y-y1=m(x-x1)
y-5=8(x-0)
y-5=8x-8(0)
y-5=8x
Add 5 to each side
y-5+5=8x+5
y=8x+5 represent the slope-intercept form. Hope it help!
So for this problem, let us use x as the cost before Chet would apply a $25 gift certificate. Based on the problem, we can see that the original cost of the product cannot be more than 75 which means that it can be equal to 75 or less than 75. We can actually express the inequality as x< or = 75 since we are looking for the cost before Chet applied the $25 gift certificate. This means that we do not need to add in the 25 yet since the question asks for the cost before the application of the discount.