Module 2 Topic 1

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you determine the slope from a point-slope equation?

Back

The slope (m) in the point-slope equation y - y1 = m(x - x1) is the coefficient of (x - x1).

Front

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

Back

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

Front

How can you find the y-intercept from a linear equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), the y-intercept is the value of b.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, which occurs when y = 0.

Front

How do you calculate the average rate of change between two points?

Back

The average rate of change between two points (x1, y1) and (x2, y2) is calculated as (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x; it shows how much y changes for a unit change in x.

Front

How can you convert a point-slope equation to slope-intercept form?

Back

To convert y - y1 = m(x - x1) to slope-intercept form, solve for y to get y = mx + (y1 - mx1).

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.