M4 L1_L4 COMPARE FUNCTIONS IN THE REAL WORLD

Front

What is the standard form of a line?

Back

The standard form of a line is represented as Ax + By = C, where A, B, and C are integers.

Front

Which equation represents the total cost of 4 tacos and 5 enchiladas totaling $10.80?

Back

The equation is 4x + 5y = 10.80, where x is the cost of a taco and y is the cost of an enchilada.

Front

How do you represent the total acres harvested by two farmers, one harvesting 600 acres per day and the other 1000 acres per day?

Back

The equation is 600x + 1000y = 9800, where x is the number of days the first farmer worked and y is the number of days the second farmer worked.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is represented as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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, indicating how steep the line is.

Front

Back

Front

What is the meaning of the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

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

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope, meaning they never intersect.