Equations of Lines

Front

What is the equation of a vertical line that passes through the point (2, 3)?

Back

x = 2

Front

What is the equation of a horizontal line that passes through the point (4, -1)?

Back

y = -1

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the 'b' represent in the slope-intercept form of a line?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

If a line has a slope of 0, what type of line is it?

Back

A horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

A vertical line.

Front

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

Back

y = 3x + 2

Front

How do you convert the standard form of a line (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Solve for y to isolate it on one side.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

Slope (m) = -2/3.