Finding Slope & Writing the Equation of the Line

Front

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

Back

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

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

m = (7 - 3) / (4 - 2) = 2

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the slope of the line that passes through the points (1, 2) and (1, 5).

Back

Undefined

Front

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

Back

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

Front

Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of -2.

Back

y = 3x - 2

Front

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Back

m = (5 - 0) / (5 - 0) = 1

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

The line decreases from left to right.

Front

Find the slope of the line that passes through the points (-2, -3) and (2, 3).

Back

m = (3 - (-3)) / (2 - (-2)) = 6 / 4 = 3/2