Slope-Intercept Form - Algebra

Front

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

Back

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

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

The slope is 3/2.

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form if needed.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

If a line has a slope of -3/4, what does this indicate about its direction?

Back

A slope of -3/4 indicates that the line is decreasing; as x increases, y decreases.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.