Writing Linear Equations: Chapter 4 & 5 Test Review

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

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

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

How do you convert the equation 2x - 5y = 35 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = (2/5)x - 7.

Front

What is the y-intercept of the equation 3x + 4y = 12?

Back

To find the y-intercept, set x = 0: 4y = 12, so y = 3. The y-intercept is (0, 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 a line with slope 2 is -1/2.

Front

What is the x-intercept of the equation 5x - 2y = 10?

Back

To find the x-intercept, set y = 0: 5x = 10, so x = 2. The x-intercept is (2, 0).

Front

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.