Graphing Linear Lines Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a line, which is y = mx + b.

Front

Write the equation of a line with slope 2 and y-intercept -3.

Back

y = 2x - 3

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 find 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 a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the equation of a line that passes through the point (1,0) with a slope of -1?

Back

y = -x + 1

Front

What is the equation of a line that passes through the points (6,3) and (4,1)?

Back

y = 1x - 3

Front

What is the x-axis on a coordinate plane?

Back

The x-axis is the horizontal line on a coordinate plane where y = 0.