Parallel/ Perpendicular/slope intercept/point slope

Front

What is the slope of a line that is perpendicular to a line with a slope of m = 5/8?

Back

-8/5

Front

Write the equation of a line parallel to y = -1/2x + 3 that goes through the point (4, -1).

Back

y = -1/2x + 1

Front

Write the equation in Point-Slope form of the line that goes through the point (10,5) and has a slope of -3.

Back

y - 5 = -3(x - 10)

Front

What is the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

Back

y = 2x + 13

Front

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

Back

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

Front

Define slope in the context of a linear equation.

Back

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

Front

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

Back

The slope-intercept form is 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

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

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