Station 2: Linear Key Features

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the x-intercept of a graph represent?

Back

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

Front

What does the y-intercept of a graph represent?

Back

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

Front

How do you find the y-intercept from a linear equation in the form y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point (0, b) on the graph.

Front

Back

Front

If a line has a slope of -20/9, what does this indicate about the line's direction?

Back

A slope of -20/9 indicates that the line is decreasing; as x increases, y decreases.

Front

What is the significance of the x-intercept being 60 in the context of loan payments?

Back

It represents the number of monthly payments needed to repay the loan.

Front

Given the point (-2, 0), what does this indicate about the graph?

Back

This point is the x-intercept of the graph, where the line crosses the x-axis.

Front

What is the relationship between slope and steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line. A slope of 0 indicates a horizontal line.

Front

How can you determine if a point is a y-intercept from a table of values?

Back

A point is a y-intercept if its x-coordinate is 0.