Linear equations from graphs and tables

Front

What does 'm' represent in the equation y=mx+b?

Back

Slope

Front

What does 'b' represent in the equation y=mx+b?

Back

Y-intercept

Front

What is the general form of a linear equation?

Back

y = mx + b

Front

How do you find the slope from a graph?

Back

Slope is the rise over run, calculated as (change in y) / (change in x).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

2

Front

If a line has a slope of -1, what does that indicate about its direction?

Back

The line decreases from left to right.

Front

How can you determine if a table of values represents a linear relationship?

Back

The differences between consecutive y-values divided by the differences between consecutive x-values should be constant.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Which graph represents the equation y = -3x + 4?

Back

A graph with a negative slope that crosses the y-axis at 4.

Front

What is the equation of a line with a slope of 0?

Back

y = b, where b is a constant.