Slope/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 vertical change (rise) to the horizontal change (run) between two points on the line.

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 as the value of y when x = 0.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

Which equation represents a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4.

Front

How can you identify the slope and y-intercept from the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope and b represents the y-intercept.