I need help with graphs and scattered gram.

I need help with graphs and scattered gram.

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It means that they are related by equation of

Y = mx +b

m is slope, geometrically. It means that rate of change is fixed

i.e.

A plumber charges $30 for service and $20 for every hour of work.

then Cost of fixing depends on number of hours of work done:, and the relation is given by the following equation:

C = 20t + 30

$30 is service charge that is called start of the process

$20 is the rate(per unit) change, means that for every hour of work he charges $20 fix.

Linear relation is where Relation is represented by a binomial Expression( consist of 2 terms)

the coefficient of the variable( 20) is the fixed rate of change,

30 is the value of C at start of the point in the context of this problem will be service call.

In graph of the equation. $30 will be the C(vertical intercept), and $20 will be slope.

The feature of linear relation is that rate of change, rise/ run and slope is fixed.

if you have a bunch of points represented as (x,y) and if you are able to plot the points on a graph and connect all the lines using a straight line using a scale, you can say the relationship is linear.

for ex:

speed of travel (x-axis) Time (x-axis)

5 mph 100 min

10 mph 80 min

15 mph 60 min

20 mph 40 min

Plot these in a graph and let me know, Nice to know you are from Cincy, Go REDS!

If you are looking at a list of points, or a table of corresponding x and y values, look at the difference between x values and the difference between y values. If every time x goes up, y changes by a constant value, it's a linear relationship.

For instance:

x y

-1 4

1 7

3 10

5 13

appears to be a linear relationship because every time x goes up by 2, y goes up by 3. However

x y

-1 4

1 7

3 4

5 1

is not a linear relationship. The listed x values still go up by 2, but the y values go up and down. If you were to plot those points and connect the dots, they would not lie on the same straight line.

I can't see the exact problem you're looking at, but I hope that helps.