Interpreting Slope & Intercepts Practice

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two variables, indicating how much one variable changes for a unit change in another variable.

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 is the meaning of the x-intercept in a graph?

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of y when x is zero.

Front

If a line has a slope of 0, what does that indicate about the relationship between the variables?

Back

A slope of 0 indicates that there is no change in the y-value as the x-value changes, meaning the relationship is constant.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates an inverse relationship, meaning as one variable increases, the other variable decreases.

Front

How can you interpret a slope of 4/5 in a real-world scenario?

Back

A slope of 4/5 means that for every 5 units increase in the x-variable, the y-variable increases by 4 units.

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the x-intercept from a linear equation in slope-intercept form?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does it mean if a line is vertical in a graph?

Back

A vertical line has an undefined slope, indicating that the x-value does not change regardless of the y-value.