Writing Linear Equations & Parallel & Perpendicular Lines Review

Front

What is the formula to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2})

Front

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

Back

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

Front

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

Back

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

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

If a line has a slope of 2, what is the slope of a line that is perpendicular to it?

Back

-\frac{1}{2}.

Front

Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of -4.

Back

y = 3x - 4.

Front

What is the x-coordinate of the midpoint between (-4, 4) and (-2, 2)?

Back

-3.

Front

Write the equation of a line that is parallel to y = 2x + 1 and passes through the point (3, 4).

Back

y = 2x - 2.

Front

What is the slope of the line represented by the equation 3x - 4y = 12?

Back

m = \frac{3}{4}.