Unit 4 Test Review: Linear Equations Part 2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you determine the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a distance-time graph, it indicates speed.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Rearrange the equation y - y1 = m(x - x1) to isolate y, resulting in y = mx + (y1 - mx1).

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What does the term 'rise over run' refer to?

Back

'Rise over run' refers to the slope of a line, calculated as the vertical change (rise) divided by the horizontal change (run).