Finding Slope and Y-intercept

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the value of the y-coordinate.

Front

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

Back

'b' represents the y-intercept of the line.

Front

What is the slope in the equation y=mx+b?

Back

The slope 'm' represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

What is the slope of the line represented by the equation y=2x+1?

Back

The slope is 2.

Front

What is the y-intercept of the equation y=-4x-5?

Back

The y-intercept is -5.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by calculating the rise over run between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).