Algebra: Chapter 4 Review

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = –3x + 1?

Back

1/3

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

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

Back

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

Front

What is the slope of the line represented by the equation y – 3 = 5(x + 2)?

Back

5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

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

Back

The line is decreasing; as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

0

Front

What is the slope of a vertical line?

Back

Undefined

Front

How do you find the y-intercept from a linear equation in standard form Ax + By = C?

Back

Set x = 0 and solve for y.

Front

What is the formula to convert a linear equation from standard form to slope-intercept form?

Back

Solve for y: y = -Ax/B + C/B.