Writing Linear Equations

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

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y1 - y2) / (x2 - x1)

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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

• Ax^2 + Bx + C = 0, which is the standard form of a quadratic equation.

• x + y = k, where k is a constant.

What is the y-intercept?

• The point where the line crosses the x-axis.

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

• The slope of the line in the equation y = mx + b.

• The value of y when x is equal to 1.

Write the equation for a line with a slope of 3 and a y-intercept of -2.

• y = 2x + 3

• y = 3x - 2

• y = -3x + 2

• y = 3x + 2

What is the cost function for a meal that costs $12.50 per person with a $30 delivery fee?

• y = 10x + 30

• y = 12.5x + 20

• y = 12.5x + 30

• y = 15x + 30

What is the significance of the point (0, b) in a linear equation?

• It represents the slope of the line.

• It indicates the value of y when x is zero.

• It shows the x-intercept of the line.

• It is the midpoint of the line segment.

If Sonya has $40 and spends $2 each day, what equation represents her remaining balance?

• y = -2x + 40

• y = 2x + 40

• y = -2x - 40

• y = 40 - 2x

What does it mean if the slope of a line is zero?

• The line is vertical and there is no change in y as x changes.

• The line is horizontal and there is no change in y as x changes.

• The line has a positive slope and rises as x increases.

• The line has a negative slope and falls as x increases.

What does the slope of a line represent?

• The slope of a line represents the distance between two points on the line.

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

• The slope of a line represents the length of the line segment.

• The slope of a line represents the angle of the line with respect to the x-axis.

What is a linear equation?

• An equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

• An equation that represents a curve when graphed.

• An equation that has no solutions and cannot be graphed.

• An equation that only includes whole numbers and no variables.