Algebra 1 4.1 - 4.3 Flashcard Review

Front

What is the equation of the line through the points (−6, −19) and (2, 5)?

Back

y = 3x − 1

Front

How do you find the equation of a line perpendicular to y=-3x-2 that goes through the point (9, 2)?

Back

y = \frac{1}{3}x - 3

Front

What is the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6)?

Back

y = 4x + 14

Front

What are the slopes of perpendicular lines?

Back

Slopes of perpendicular lines are opposite reciprocals.

Front

Given a slope of -4 and a y-intercept of -4, what is the equation of the line?

Back

y = -4x - 4

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = \frac{y2 - y1}{x2 - x1}.

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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The product of their slopes is -1.

Front

How do you convert the standard form of a line (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Solve for y to isolate it on one side of the equation.