Finding Slope and Y-intercept

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 the slope of a line represent?

Back

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

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).

Front

In the equation of a line y = mx + b, what does 'b' represent?

Back

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

Front

If a line has a slope of -5/3, what does this indicate about the line's direction?

Back

The line is decreasing; as x increases, y decreases.

Front

How do you find the y-intercept from the equation of a line?

Back

Set x = 0 in the equation and solve for y.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is positive, what can be said about the line's direction?

Back

The line is increasing; as x increases, y also increases.

Front

How can you determine the slope from a graph?

Back

Choose two points on the line, find the rise (change in y) and run (change in x), then calculate slope as rise/run.