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.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5