Understanding 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) to the run (change in x).

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by 'm' in the equation y = mx + b.

Front

How can you find the y-intercept from the equation y = 2x + 3?

Back

Set x to 0. The y-intercept is 3.

Front

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

Back

The slope is -5.

Front

Which equation has a y-intercept of -2?

Back

y = 4x - 2.

Front

What is the y-intercept of the equation y = 6x + 1?

Back

The y-intercept is 1.

Front

Identify the slope in the equation y = 0.5x - 4.

Back

The slope is 0.5.

Front

Which of the following equations represents a line with a slope of 3? y = 3x + 1, y = -3x + 1, y = 1 - 3x, y = 2x + 3

Back

y = 3x + 1.

Front

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

Back

The slope is -2.