Linear and Non-Linear Relations

Practice for a quiz or learn something new.

resembles a straight line when graphed

linear relation (graph)

x and y change at a constant rate

linear relation (table of values)

the degree of the equation is 1

linear relation (equation)

does not resemble a straight line when graphed

non-linear relation (graph)

x and/or y do not change at a constant rate

non-linear relation (table of values)

the degree of the equation is more than 1

non-linear relation (equation)

rate of change/slope

R.O.C

when y is 0/y-intercept

initial value

rate of change is the first difference in x

table of values (R.O.C)

R.O.C = change in y/change in x (delta y/x)

graph (R.O.C)

R.O.C = coefficient of x
y = 7x - 3
R.O.C = 7

equation (R.O.C)

x when y is 0

table of values (initial value)

y-value when the line intersects with the y-axis

graph (initial value)

initial value = constant term
y = 7x - 3
initial value = -3

equation (initial value)

the dependent variable

In an equation, what variable should you start with?

independent, dependent

What order should the variables be in a table of values?

independent, dependent

Where should the values go on the graph? (x,y)

a title
x-axis label
y-axis label
equation

What needs to be included in a graph for it to be complete?

there should be an arrow on the line segment (it does not intersect with the x-axis)

when there is a break in the graph...

1. pick any point on the line with easy to read coordinates
2. the scale applies

when measuring delta x and delta y...

ignore the sign (+,-) whichever number is larger (slope) has the greater steepness

when calculating steepness...

a decreasing trend

negative correlation

an increasing trend

positive correlation

no trend

no correlation

make a prediction inside the data

interpolate

make a prediction outside the data

extrapolate

close to the line of best fit

strong correlation

farther from the line of best fit

weak correlation

a point that does no follow the trend in a relationship

outlier