10.1 Flashcard Review

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

y = 2x + 3

Front

Back

Front

What is the y-intercept of the equation y = 5x - 4?

Back

(0, -4)

Front

Which equation represents a line with a slope of 5 and a y-intercept of 5?

Back

y = 5x + 5

Front

What is the definition of a slope in a linear equation?

Back

The slope is the measure of the steepness of a line, calculated as the rise over run.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does the slope of a line indicate about its direction?

Back

A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.

Front

What is the general form of a linear equation?

Back

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

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also -3.

Front

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

Back

Slope = (7 - 3) / (4 - 2) = 2.