Unit 5 Flashcard 1 Review

Front

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

Back

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

Front

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

Back

The slope (m) of a line through two points is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If a line has a slope of m, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with slope m is -1/m.

Front

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

Back

The slope of the line is 2.

Front

How do you convert the equation 2y = 3x - 8 into slope-intercept form?

Back

To convert 2y = 3x - 8 into slope-intercept form, divide all terms by 2 to get y = (3/2)x - 4.

Front

What is the slope of a line that is parallel to the line y = -4x + 1?

Back

The slope of a line parallel to y = -4x + 1 is -4.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of the line segment between the points (1, 2) and (4, 5)?

Back

The slope of the line segment is (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept of the line is 5.