Identifying Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you find the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What is the y-intercept of the equation y = -4x + 7?

Back

The y-intercept is 7.

Front

How can you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept (b) is the constant term in the equation.

Front

What is the slope of the line represented by the equation y = -2x - 5?

Back

The slope is -2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the y-intercept of the equation y = rac{1}{2}x + 4?

Back

The y-intercept is 4.