Open Up Math 8 Unit 3 Mid Unit Assessment Review

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

In the equation y = mx + b, what does 'm' stand for?

Back

'm' represents the slope of the line.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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 the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0; it is the point where the line crosses the y-axis.

Front

If a linear equation has a slope of 1.40, what does this indicate in a real-world context?

Back

It indicates that for every one-unit increase in the independent variable, the dependent variable increases by 1.40 units.

Front

What is the meaning of 'rise over run' in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

How can you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

How do you write the equation of a line given its slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting the given slope for m and the y-intercept for b.