Parallel/Perpendicular Lines Flashcard

Front

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

Back

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

Front

Convert the point-slope form y - 3 = 2(x - 5) to slope-intercept form.

Back

y = 2x - 7.

Front

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

Back

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

Front

How do you find the slope from the equation y = -3x + 4?

Back

The slope is -3.

Front

What is the slope of a line that is parallel to the line y = 2x + 3?

Back

The slope of a parallel line is also 2.

Front

What is the slope of a line that is perpendicular to the line y = 2x + 3?

Back

The slope of a perpendicular line is -1/2.

Front

Given the equation y + 6 = 10(x - 9), what is the point used to write this equation?

Back

The point is (9, -6).

Front

What is the slope of the equation 12x - 4y = -20?

Back

The slope is 3.

Front

How do you convert the equation 12x - 4y = -20 to slope-intercept form?

Back

The slope-intercept form is y = 3x + 5.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.