Identify slope and y-intercept for linear equations

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 vertical change to the horizontal change between two points on the line.

Front

How is the slope represented in the slope-intercept form of a linear equation?

Back

In the slope-intercept form, y = mx + b, the slope is represented by 'm'.

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, represented by 'b' in the slope-intercept form y = mx + b.

Front

How can you determine if the slope of a line is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a slope of zero is a horizontal line.

Front

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

Back

The slope of the line is 3.

Front

If a line has a slope of -2, what does this indicate about the direction of the line?

Back

A slope of -2 indicates that the line falls steeply from left to right.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 5?

Back

The slope of the line is -rac{1}{2}.

Front

How do you find the y-intercept from the equation y = 4x - 10?

Back

The y-intercept is found by setting x to 0; thus, y = 4(0) - 10 = -10.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -1?

Back

The equation is y = 2x - 1.

Front

How can you identify the slope and y-intercept from a graph?

Back

The slope can be determined by the rise over run between two points, and the y-intercept is where the line crosses the y-axis.