Six fewer than half a number is ten more than two and a half times the number. Define a variable, write an equation, and solve it to find the number.

Define a Variable: x = the number

Equation: 1/2x - 6 = 2 1/2x + 10

Solve:

1/2x - 6 = 2 1/2x + 10

1/2x - 16 = 2 1/2x

-16 = 2x

x = -8

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).