3A Slope IP

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

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

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

Back

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

Front

If a line has a slope of -3, what does this tell you about the direction of the line?

Back

The line decreases as it moves from left to right.

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

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

Back

Use the slope-intercept form: b = y - mx, where (x, y) is the point.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables.

Front

If a line passes through the origin and has a slope of 5, what is its equation?

Back

y = 5x.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope.