Question

Work out m and c for the line:
y = x +9
m =
C =​

Answer 1

Answer:

Step-by-step explanation:

y = how far up

x = how far along

m = Slope or Gradient (how steep the line is)

b = value of y when x=0

How do you find "m" and "b"?

b is easy: just see where the line crosses the Y axis.

m (the Slope) needs some calculation:

m =  Change in Y / Change in X

m =  2/1 = 2

b = 1 (value of y when x=0)

So: y = 2x + 1

With that equation you can now ...

... choose any value for x and find the matching value for y

For example, when x is 1:

y = 2×1 + 1 = 3

Check for yourself that x=1 and y=3 is actually on the line.

Or we could choose another value for x, such as 7:

y = 2×7 + 1 = 15

And so when x=7 you will have y=15

Positive or Negative Slope?

Going from left-to-right, the cyclist has to Push on a Positive Slope: