Graphing Linear Equations & Slope

Front

In graphing linear functions, graph y = 4 means that for every value of x, the value of y is ____.

Back

4

Front

In graphing linear functions, graph x = 2 means that for every value of y, the value of x is ____.

Back

2

Front

What is the x-intercept of the graph 2x + 3y = 12?

Back

(6, 0)

Front

Find the slope of the line represented by the equation y = -5/4x + 3.

Back

-5/4

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

2

Front

What is the definition of slope in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Front

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

Back

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