RRMS | Writing Equations from Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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 is the y-intercept of a line?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

Given points (2, 2) and (3, 4), what is the equation of the line?

Back

y = 2x - 2.

Front

Given points (3, 3) and (1, -5), what is the equation of the line?

Back

y = 4x - 9.

Front

Given points (4, -1) and (0, -3), what is the equation of the line?

Back

y = ½ x - 3.

Front

Given points (-3, 3) and (3, -1), what is the equation of the line?

Back

y = -⅔ x + 1.

Front

Given points (3, 4) and (0, -5), what is the equation of the line?

Back

y = 3x - 5.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.