Slope-Intercept Form

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, meaning when x = 0.

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 x-intercept of the equation y = 2x + 4?

Back

The x-intercept is (-2, 0).

Front

If two lines have slopes that are negative reciprocals, what is their relationship?

Back

The lines are perpendicular to each other.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

Write the equation of a line with a slope of 3 and a y-intercept of 5 in slope-intercept form.

Back

y = 3x + 5.