P F Test 3 -- Linear Equations

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 parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

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 is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean for a line to have a slope of 1/5?

Back

A slope of 1/5 means that for every 5 units you move horizontally to the right, the line moves up 1 unit.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the equation of a line with a slope of -4 and a y-intercept of 6?

Back

The equation is y = -4x + 6.

Front

How do you solve for a variable in a linear equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.