Writing equations of a line

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line 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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula 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.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

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

Back

y = -4x - 4.

Front

Write the equation of a line perpendicular to y = -2x + 1 that passes through (2, 3).

Back

y = \frac{1}{2}x + 2.

Front

Determine if the lines y = -\frac{1}{3}x - 5 and y = \frac{1}{3}x + 2 are parallel, perpendicular, or neither.

Back

Neither.

Front

Write the equation of a line with slope \frac{3}{5} through the point (20, 6).

Back

y = \frac{3}{5}x - 6.

Front

Write the equation of a line with slope -2 through the point (7, -1).

Back

y = -2x + 13.