Slope & Graphing Linear Equations Review

Front

A point on a graph is represented as

Back

(x, y)

Front

What is the slope of a horizontal line?

Back

0

Front

What is the slope of a vertical line?

Back

Undefined

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line containing the points (4, -5) and (1, -3).

Back

Slope = \frac{-3 - (-5)}{1 - 4} = \frac{2}{-3} = \frac{-2}{3}

Front

What is the y-intercept of a line?

Back

The y-coordinate where the line crosses the y-axis.

Front

If a line has a slope of 1/5, what does this indicate about the line?

Back

For every 5 units moved horizontally, the line moves 1 unit vertically.

Front

What does a negative slope indicate about a line?

Back

The line decreases as it moves from left to right.

Front

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

Back

2 (the coefficient of x) is the slope.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

-1/2 (the coefficient of x) is the slope.