Slope & Intercepts

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the slope of the line y = -2x + 2?

Back

-2

Front

What is the x-intercept of the line y = -3x + 3?

Back

(1, 0)

Front

What is the x-intercept shown on the graph at the point (-2, 0)?

Back

The x-intercept is -2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the y-intercept of the line y = 3x + 2?

Back

2

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.