Finding Slope and Line Equations

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

What does it mean for two lines to be parallel in terms of slope?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of the line that passes through the points (1, 4) and (5, 9)?

Back

5/4

Front

What is the slope of the line that passes through the points (3, 2) and (4, 7)?

Back

5

Front

If a line has a slope of -4/3, what does this indicate about its direction?

Back

The line decreases as it moves from left to right.

Front

What is the slope of a horizontal line?

Back

0

Front

What is the slope of a vertical line?

Back

Undefined.

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes are opposite reciprocals of each other.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 5?

Back

-5