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

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4/3x + 4?

Back

The slope is 4/3.

Front

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

Back

The y-intercept is 3.

Front

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

Back

Graph A represents the equation 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 can you determine if a point (x, y) is a solution to the equation y = mx + b?

Back

Substitute x into the equation and see if the resulting y equals the given y.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.