Interpreting Slope and Y-intercept

Front

What is the meaning of the y-intercept?

Back

The y-intercept is the value of y when x is 0, representing the starting point of a linear relationship.

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

Write the equation in slope-intercept form for a situation with a $20 startup fee and a $5 monthly fee.

Back

y = 5x + 20

Front

What does the x-intercept represent in a graph?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

If a line has a slope of -3, what does this indicate about the relationship between x and y?

Back

As x increases, y decreases, indicating a negative correlation.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

In the equation y = 0.5x + 10, what does the 0.5 represent?

Back

The 0.5 represents the per-mile fee for the moving truck.

Front

What does a slope of 1/2 miles driven/$1 mean in practical terms?

Back

It means for every $1 spent, the distance driven is 2 miles.