Finding Slope and Y Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation in the form y = mx + b, identify the value of 'b'. The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the value of y when x is 0. It is the point where the line intersects the y-axis.

Front

Given the equation y = 2x + 4, what is the y-intercept?

Back

The y-intercept is 4.

Front

In the equation y = -3x + 1, what is the slope?

Back

The slope is -3.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

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 represented by the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

In the equation y = -4x - 5, what is the y-intercept?

Back

The y-intercept is -5.