Linear Equations Review

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What is the slope of a line that is perpendicular to the line y = 2x - 7?

Back

The slope of a line perpendicular to y = 2x - 7 is -1/2.

Front

How do you write the equation of a line given a point and a slope?

Back

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

Front

What type of line is represented by the equation y = 10?

Back

The equation y = 10 represents a horizontal line.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept of the equation y = 2x + 3 is 3.

Front

How can you convert the equation y - 5 = -1/2(x - 3) to slope-intercept form?

Back

To convert to slope-intercept form, simplify to y = -1/2x + 3.5.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x.

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.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).