Matching graphs and equations

Front

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

Back

The slope is 0, indicating a horizontal line.

Front

What does the equation y = 1/2x + 1 represent?

Back

It represents a line with a slope of 1/2 and a y-intercept of 1.

Front

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

Back

The slope is -1, indicating a line that decreases as x increases.

Front

What does the equation y = 2x + 1 represent?

Back

It represents a line with a slope of 2 and a y-intercept of 1.

Front

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

Back

The slope is -2, indicating a steep decrease as x increases.

Front

How do you identify the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of b in the equation.

Front

What does the term 'slope' refer to in a linear equation?

Back

Slope refers to the steepness of the line, calculated as the rise over run.

Front

What is the general form of a linear equation?

Back

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

Front

How can you determine if a line is increasing or decreasing from its equation?

Back

If the slope (m) is positive, the line is increasing; if negative, it is decreasing.

Front

What does the graph of y = 2x look like?

Back

It is a straight line passing through the origin with a slope of 2.