Slope and y-intercept, step by step

A line carries two numbers and they mean different things: one says how fast it climbs, the other says where it starts.

The question

y = 8x

y = 8x
y = 8x
m=8
y = 8x
m=8
  1. A line written this way carries two facts: how much y moves for each step of x, and where it already is when x is 0. The slope is the first.
  2. The number multiplying x is 8, so each step of x moves y by 8. There is no constant, so the line starts at 0.
  3. So m = 8.

How it works.

  1. 01

    A line written this way carries two facts: how much y moves for each step of x, and where it already is when x is 0. The slope is the first.

  2. 02

    The number multiplying x is 8, so each step of x moves y by 8. There is no constant, so the line starts at 0.

  3. 03

    So m = 8.