Slope Intercept Form Review: Tables, Graphs, Equations, 2 points

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 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 does a slope of 1/2 indicate about a line?

Back

A slope of 1/2 indicates that for every 2 units moved horizontally, the line moves up 1 unit vertically.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

In the equation of a line in slope-intercept form (y = mx + b), what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation of a line in slope-intercept form (y = mx + b), what does 'b' represent?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

If a line has a slope of -5/4, what does this indicate about its direction?

Back

A slope of -5/4 indicates that the line is decreasing; as x increases, y decreases.

Front

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

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

How can you interpret the slope in a real-world context, such as in a distance vs. gasoline graph?

Back

The slope represents the rate of change; for example, it could indicate how many miles are traveled per gallon of gasoline.

Front

What is the equation of a line that starts with a $45 balance and decreases by $6 each month?

Back

The equation is y = -6x + 45.