EOC Review Lines

Front

What is the equation of a line given two points?

Back

The equation of a line can be found using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the slope of a line between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that is parallel to another line?

Back

Parallel lines have the same slope.

Front

What is the slope of a line that is perpendicular to another line?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you find the y-intercept from the equation 3x + 4y = 24?

Back

To find the y-intercept, set x = 0 and solve for y. In this case, y = 6.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If a line has a slope of 3/7, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 3/7.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.