POA Chapter 4 Test Review

Front

What is the slope of a line that is perpendicular to y = 2x - 7?

Back

-1/2

Front

For the equation y - 3 = 2(x + 4), what is the slope and what point does it contain?

Back

Slope: 2; Point: (-4, 3)

Front

Write the equation in point-slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4)

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2

Front

What slope is perpendicular to m = 5/8?

Back

-8/5

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What is point-slope form of a linear equation?

Back

Point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you find the y-intercept of a line given its slope and a point?

Back

Use the point-slope form to find the equation, then set x = 0 to solve for y.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.