Slope and Slope Formula

What is the significance of a negative slope?

• A negative slope indicates that as x increases, y decreases, meaning the line descends from left to right.

• A negative slope indicates that as x increases, y increases, meaning the line ascends from left to right.

• A negative slope indicates that there is no relationship between x and y.

• A negative slope indicates that y is always zero regardless of x.

How can you find the slope from a linear equation in standard form Ax + By = C?

• Rearrange the equation into slope-intercept form (y = mx + b) and identify the coefficient of x as the slope.

• Calculate the value of A and divide it by B.

• Use the quadratic formula to find the slope.

• Identify the constant term C as the slope.

What does the slope of a line represent in a graph?

• The slope indicates the length of the line segment.

• The slope represents the rate of change of y with respect to x, indicating how steep the line is and the direction it moves (upward or downward).

• The slope shows the total distance covered by the line.

• The slope is the angle at which the line intersects the x-axis.

What is the slope of the line that passes through the points (−11,−5) and (1,−12)?

• -7/12

• 1/2

• 3/4

• -1/3

If a line has a slope of 0, what does this indicate about the line?

• The line is vertical, indicating an undefined slope.

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

• The line has a positive slope, indicating it rises to the right.

• The line has a negative slope, indicating it falls to the right.

What is the slope formula used to calculate the slope between two points?

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y2 + y1) / (x2 - x1)

What is the slope of the line represented by the equation 2x - 3y = 6?

• 1

• 2/3

• -2

• 3/2

What is the slope of a vertical line?

• 0

• 1

• Undefined

• Infinity

What is the slope of the line that passes through the points (3, 4) and (7, 10)?

• 1

• 3/2

• 2

• 5/4

How do you calculate the slope between two points when given their coordinates?

• Use the formula m = (y2 - y1) / (x2 - x1) by substituting the coordinates of the two points.

• Multiply the coordinates of the two points together.

• Add the y-coordinates and divide by the sum of the x-coordinates.

• Subtract the x-coordinates and multiply by the difference of the y-coordinates.