11-22-24 Slope, Points, and Point-Slope Form

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = \frac{y2 - y1}{x2 - x1}

Front

What is the slope of a line that is horizontal?

Back

0

Front

What is the slope of a line that is vertical?

Back

Undefined

Front

Given the points (2, 1) and (4, 7), calculate the slope.

Back

3

Front

Given the points (-3, 5) and (1, 7), calculate the slope.

Back

0.5 or \frac{1}{2} or \frac{2}{4}

Front

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

Back

y - y1 = m(x - x1)

Front

If the slope of a line is 3 and it passes through the point (2, 1), what is the equation of the line in point-slope form?

Back

y - 1 = 3(x - 2)

Front

Convert the point-slope equation y - 1 = 3(x - 2) to slope-intercept form.

Back

y = 3x - 5

Front

True or False: The point (4, 7) lies on the line for the equation y = 3x - 5.

Back

True

Front

What does the term 'slope' represent in a linear equation?

Back

The rate of change of y with respect to x.