Graphing Linear Equations

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = 4x + 3?

Back

The slope is 4.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of 2/3, how would you write its equation with a y-intercept of -3?

Back

The equation is y = (2/3)x - 3.

Front

Which graph represents the equation y = (1/2)x?

Back

Graph A represents the solution pairs of the graph y = (1/2)x.

Front

What is the slope of the line represented by the equation y = -¼x + 3?

Back

The slope is -¼.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

How can you graph the equation y = x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (1) to find another point.

Front

What does a positive slope indicate about a linear graph?

Back

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