Unit 3 Review

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) where b is the value of y when x = 0.

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction. It is calculated as the change in y divided by the change in x (rise/run).

Front

What does the slope represent in a linear equation?

Back

In a linear equation of the form y = mx + b, the slope (m) represents the rate of change of y with respect to x.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept from a linear equation in the form y = mx + b, set x = 0 and solve for y. The y-intercept is the value of y.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Is (0, 1) a solution to the equation 2x + 3 = y?

Back

No! To check, substitute x = 0 into the equation: 2(0) + 3 = 3, which is not equal to 1.

Front

What is the slope of the equation y = 2x - 2?

Back

The slope of the equation y = 2x - 2 is 2.

Front

What is the y-intercept of the equation y = 2x - 2?

Back

The y-intercept of the equation y = 2x - 2 is -2, represented as the point (0, -2).

Front

What is the slope of the equation y = \frac{4}{3}x - 3?

Back

The slope of the equation y = \frac{4}{3}x - 3 is \frac{4}{3}.

Front

What is the y-intercept of the equation y = \frac{4}{3}x - 3?

Back

The y-intercept of the equation y = \frac{4}{3}x - 3 is -3, represented as the point (0, -3).