Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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 as (0, b) in the equation y = mx + b.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation.

Front

How do you determine the x-intercept from the equation y = mx + b?

Back

Set y = 0 and solve for x: 0 = mx + b, which gives x = -b/m.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other (m1 * m2 = -1).

Front

Given the equation y = 2x + 5, what is the slope?

Back

The slope is 2.

Front

Given the equation y = -3x + 4, what is the y-intercept?

Back

The y-intercept is (0, 4).