Finding Slope two points and graphing lines (1/30)

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 through the points (1, -5) and (6, 20).

Back

m = (20 - (-5)) / (6 - 1) = 25 / 5 = 5

Front

What does it mean if the slope of a line is undefined?

Back

The line is vertical, meaning it goes straight up and down.

Front

Find the slope of the line passing through the points (8, 3) and (8, 6).

Back

m is undefined because the x-coordinates are the same.

Front

What is the slope of a horizontal line?

Back

The slope (m) of a horizontal line is 0.

Front

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

Back

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

Front

Find the slope of the line that passes through the points (1, -2) and (-2, 7).

Back

m = (7 - (-2)) / (-2 - 1) = 9 / -3 = -3

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

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

The line rises 3 units for every 1 unit it moves to the right.

Front

What is the significance of the y-intercept in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis.