Finding Slope (y1~mx1+b)

Front

What is the formula to find the slope of a line?

Back

The slope (m) is calculated using the formula: 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

Find the slope of the line passing through the points (2, 3) and (5, 11).

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

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 a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

Find the slope of the line represented by the equation y = 3x + 4.

Back

The slope is 3.

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, calculate the rise (change in y) and run (change in x), then use m = rise/run.

Front

Find the slope of the line through the points (4, 5) and (4, 9).

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.