Juan has 35 pairs of shoes. Every week he gets rid of 3 pairs. After how many weeks will he have less than 10 pairs of shoes?

This is the same as writing y = 0.75x + 3.25

slope is 3/4 = 0.75

y intercept is 13/4 = 3.25

Explanation:

One marked point on this line is (-3,1)

Another point is at (1,4)

Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

m = (4-1)/(1-(-3))

m = (4-1)/(1+3)

m = 3/4

m = 0.75

Now let's use point slope form to find the equation of the line

y - y1 = m(x - x1)

y - 1 = 0.75(x - (-3))

y - 1 = 0.75(x + 3)

y - 1 = 0.75x + 2.25

y = 0.75x + 2.25 + 1

y = 0.75x + 3.25

If you wanted, you can convert those decimal values to fraction form

That means the equation

y = 0.75x + 3.25

is the same as

y = (3/4)x + 13/4