Finding Slope and Y-intercept

Front

What does 'b' represent in the equation y=mx+b?

Back

y-intercept

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the rise over run, which is the change in y divided by the change in x.

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

3/2

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

(0, 3)

Front

What is the formula for slope?

Back

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

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

How can you determine the slope from a graph?

Back

By selecting two points on the line, calculate the rise over run between those points.