Slope-Intercept Review

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

Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

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 y when x = 0.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What type of line has a slope of 0?

Back

A horizontal line has a slope of 0.

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope.

Front

Identify the slope and y-intercept from the equation y = 3x - 2.

Back

Slope = 3, y-intercept = -2.

Front

Write the equation of a line with a slope of 2 and a y-intercept of 5 in slope-intercept form.

Back

y = 2x + 5.

Front

If a line passes through the points (1, 2) and (3, 6), what is its slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The y-intercept is 4.