2.21 Flashcards - Linear Relationships

Pre-Algebra Linear Relationships Flashcards

If you have a constant rate of change, what does the graphed line look like?

A straight line

If you have a straight line graphed, what will you notice in the table of values?

There will be a constant rate of change in both the x and y variables

What is the y-intercept?

The place on the y-axis where the line crosses or intersects with it.

Also referred to as “b”.

What does the “Initial Value” represent?

the y-intercept, or “b”

(it’s the starting point on the y-axis)

What does the “rate of change” represent?

The slope, or “m”

What does “constant of proportionality” or “proportionality constant” represent?

the slope, or rate of change, or '“m”

What is the slope-intercept form of a line?

y = mx + b

What is the general formula for finding the slope?

“change in y OVER the change in x”

How do you find the slope from two points?

y₂ - y₁ OVER x₂ - x₁

_{(Subtract the y-values to get your numerator, and subtract the x-values to get your denominator)}

Lines that increase left to right have what kind of slopes?

Positive

Lines that decrease left to right have what kind of slopes?

Negative