Slope and Equations of Lines

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 calculate the slope between 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, meaning their slopes are opposite reciprocals.

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also -3.

Front

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

Back

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

Front

What is the y-intercept of the line represented by the equation y = 4x + 5?

Back

The y-intercept is 5.

Front

Write the equation of a line with a slope of 1 and a y-intercept of -2 in slope-intercept form.

Back

y = 1x - 2 or y = x - 2.

Front

Given the points (1, 3) and (2, 5), what is the slope of the line connecting them?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation 3x + 2y = 6?

Back

The slope is -3/2.