Matching graphs and equations

Front

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

Back

The slope is 1.

Front

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

Back

The y-intercept is 1, which is the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = -2x?

Back

The slope is -2, indicating the line falls steeply as x increases.

Front

What is the y-intercept of the equation y = -2x - 1?

Back

The y-intercept is -1.

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, the line is decreasing.

Front

What does the equation y = x represent graphically?

Back

It represents a line that passes through the origin with a slope of 1.

Front

What is the significance of the coefficient of x in a linear equation?

Back

It represents the slope of the line.

Front

How do you find the x-intercept of the equation y = 2x?

Back

Set y to 0 and solve for x: 0 = 2x, so x = 0.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.