Test 5 points back

Front

What is the equation of a line given two points?

Back

To find the equation of a line given two points (x1, y1) and (x2, y2), use the formula: 1. Calculate the slope (m): m = (y2 - y1) / (x2 - x1) 2. Use the point-slope form: y - y1 = m(x - x1) to find the equation.

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated as the change in y divided by the change in x between two points: m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line through a point (a, b) is given by: x = a.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line through a point (a, b) is given by: y = b.

Front

How do you write the equation of a line with a given slope and a point?

Back

To write the equation of a line with slope m through a point (x1, y1), use the point-slope form: y - y1 = m(x - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What does it mean if a line has a slope of 0?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning it goes straight up and down and does not have a defined rise over run.