Linearity Test Review

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 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 perpendicular?

Back

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

Front

Write the point-slope form of a line that passes through the point (3, 5) with a slope of 2.

Back

y - 5 = 2(x - 3).

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the formula for finding the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

The slope of a parallel line is also -3.

Front

Given the points (1, 2) and (4, 8), find the slope of the line that passes through them.

Back

The slope is 2.

Front

What is the equation of a line in point-slope form that passes through (0, 0) with a slope of 5?

Back

y = 5x.