Use the formula y=mx+ c to work out the value ofy when m=8 x=3 c=4

m =  21 = 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:

negative slope   zero slope   positive slope

Example 2

y=-3x graph

m =  −31 = −3

b = 0

This gives us y = −3x + 0

We do not need the zero!

So: y = −3x

Example 3: Vertical Line

graph x=2

What is the equation for a vertical line?

The slope is undefined ... and where does it cross the Y-Axis?

In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=...".

Like this:

x = 1.5

Every point on the line has x coordinate 1.5,

that is why its equation is x = 1.5

Rise and Run

rise and run

Sometimes the words "rise" and "run" are used.

Rise is how far up

Run is how far along

And so the slope "m" is:

m =  riserun

You might find that easier to remember.

Animation    

Now Play With The Graph !

You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph

Step-by-step explanation:

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.