Slope & Graphing Linear Equations Review

Front

What is the slope formula?

Back

The slope formula is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( m \) is the slope, and \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

Front

How do you find the slope of a line given two points?

Back

To find the slope, use the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Substitute the coordinates of the two points into the formula.

Front

What does 'm' represent in the slope formula?

Back

'm' represents the slope of the line.

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 rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Front

What is the slope of the line containing the points (4, -5) and (1, -3)?

Back

The slope is \( \frac{-2}{3} \).

Front

What is the slope of the line containing the points (2, 3) and (2, 7)?

Back

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

Front

What is the slope of the line containing the points (1, 2) and (4, 5)?

Back

The slope is \( \frac{5 - 2}{4 - 1} = \frac{3}{3} = 1 \).