What is the slope of the line that has an x-intercept 8 and a y-intercept 15?

We know that a line is intercepting x axis in the point (x,0)
and it is intercepting y axis in the point (0,y).

We'll write the
general form of a line:

y = ax + b

We
know that the line is intersecting x axis in x = 8.

0 = 8a +
b

8a = -b

a =
-b/8

We also know that the line is intecrepting y axis in y =
15.

15 = b

a =
-15/8

We also know that the slope of the line is given by the
coefficient of x (when the equation of the line is written in the slope point form: y=mx +
n)

Comparing, we'll get a = m =
-15/8

The slope of the line whos x intercept is 8 and
y intercept is 15, is m = -15/8.