graphing lines

Front

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

Back

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

How do you find the y-intercept of a line from its equation?

Back

Front

What is the x-intercept of a line?

Back

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

Front

How do you convert the standard form of a line to slope-intercept form?

Back

Front

What is the significance of parallel lines in graphing?

Back

Parallel lines have the same slope but different y-intercepts, meaning they never intersect.

Front

What is the significance of perpendicular lines in graphing?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning their product is -1.

Front

How do you graph a line given its equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the equation of a line that passes through the points (1, 2) and (3, 4)?

Back