Algebra I Chapter 5 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 equation of a line with slope 3 and y-intercept -10 in slope-intercept form.

Back

y = 3x - 10.

Front

If a line has a slope of 4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/4.

Front

Write the equation of a line that passes through (6, 0) and is perpendicular to y = \frac{3}{4}x - \frac{1}{4}.

Back

y = -\frac{4}{3}x + 8.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

Write the equation of a line that passes through (0, 2) and is perpendicular to y = -4x + 6.

Back

y = \frac{1}{4}x + 2.

Front

How do you convert the slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

Write the equation in standard form of the line that passes through (-1, -5) and (3, 7).

Back

-3x + y = -2.