Linear Equations Review

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

• It means that as x increases, y decreases, indicating a downward trend.

• It means that as x increases, y also increases, indicating an upward trend.

• It means that the line is horizontal and does not change in value.

• It means that the line is vertical and has an undefined slope.

How can you determine if two lines are parallel?

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

• Two lines are parallel if they intersect at a right angle.

• Two lines are parallel if they have different slopes.

• Two lines are parallel if they are both horizontal.

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

• It means that as x increases, y also increases, indicating an upward trend.

• It means that as x increases, y decreases, indicating a downward trend.

• It means that the line is horizontal and does not change.

• It means that the line is vertical and undefined.

How can you determine if two lines are perpendicular?

• Two lines are perpendicular if the product of their slopes is -1 (i.e., m1 * m2 = -1).

• Two lines are perpendicular if they intersect at a right angle only.

• Two lines are perpendicular if their slopes are equal.

• Two lines are perpendicular if the sum of their slopes is 0.

What is the y-intercept in a linear equation?

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

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

• The slope of the line in the equation.

• The value of m in the equation y = mx + b.

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

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

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

• Use the standard form: Ax + By = C, where A, B, and C are constants.

• Use the two-point form: y - y1 = (y2 - y1)/(x2 - x1)(x - x1), where (x1, y1) and (x2, y2) are two points.

What is a function in terms of linear equations?

• A function is a relation where each input (x-value) has exactly one output (y-value). Linear equations represent functions.

• A function can have multiple outputs for a single input value.

• Linear equations are not related to functions at all.

• A function is a type of linear equation that only includes positive numbers.

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

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y2 + y1) / (x2 - x1)

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 indicates the length of the line segment.

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

How can you identify the slope from a table of values?

• Calculate the change in y divided by the change in x between two points in the table.

• Add all the y-values and divide by the number of points.

• Subtract the smallest x-value from the largest x-value.

• Multiply the change in y by the change in x.