Finding Slope from Two Points and Graphically

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

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

Back

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

Front

Given the points (2, 3) and (4, 7), find the slope of the line.

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

Rearranging to slope-intercept form (y = mx + b), the slope (m) is -2/3.

Front

If a line has a slope of 1/2, what does this mean in terms of rise over run?

Back

For every 2 units you move to the right (run), the line rises 1 unit (rise).