Slope-Intercept Form Review

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

What does the slope of a line represent?

Back

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

Front

What does the y-intercept of a line represent?

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 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = 4x - 7?

Back

The y-intercept is -7, or the point (0, -7).

Front

Write the equation of a line with a slope of 1 and a y-intercept of 4.

Back

The equation is y = 1x + 4 or y = x + 4.

Front

What is the equation of a line that passes through the point (0, 0) with a slope of 5?

Back

The equation is y = 5x.

Front

How do you convert the equation y = 2x + 3 to slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b.