Slope and Slope Intercept

Front

What is the formula to calculate the slope (m) of a line that passes through two points (x1, y1) and (x2, y2)?

Back

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

Front

In the slope-intercept form of a linear equation, what does 'b' represent?

Back

b represents the y-intercept, the point where the line crosses the y-axis.

Front

What does a positive slope indicate about a line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line's direction?

Back

A negative slope indicates that the line falls from left to right.

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 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit to the right.

Front

How do you convert the slope-intercept form y = mx + b to standard form Ax + By = C?

Back

Rearrange the equation to get Ax + By = C, where A, B, and C are integers.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

If the slope of a line is 1/2, what is the angle of inclination of the line?

Back

The angle of inclination is approximately 26.57 degrees.