Finding missing coordinates given a slope

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

Given two points (4, 6) and (x, 0), how do you find the missing coordinate x if the slope is 1/2?

Back

Use the slope formula: 1/2 = (0 - 6) / (x - 4). Solve for x.

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

If the slope of a line is positive, what does this tell you about the direction of the line?

Back

The line rises from left to right.

Front

If the slope of a line is negative, what does this tell you about the direction of the line?

Back

The line falls from left to right.

Front

How do you find the y-intercept of a line given the slope and a point on the line?

Back

Use the equation y = mx + b, where m is the slope and (x, y) is the point. Solve for b.

Front

What is the slope of the line that passes through the points (19, -2) and (-11, 10)?

Back

The slope is -2/5.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.