7.7A y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 4x + 3?

Back

The slope (m) is 4.

Front

What is the y-intercept in the equation y = -1x + 3?

Back

The y-intercept (b) is 3.

Front

How do you determine the slope from a graph?

Back

The slope is determined by the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

If a fish is represented by the equation y = -7x - 3, what does -7 represent?

Back

The -7 represents the rate at which the fish is descending, in meters per second.

Front

What does the equation y = 2x - 2 indicate about the relationship between x and y?

Back

It indicates that for every increase of 1 in x, y increases by 2, starting from -2.

Front

In the equation y = 2x - 50, what does the -50 represent?

Back

The -50 represents the starting amount that Betty owes Maggie, which decreases as she pays back $2 each day.

Front

How can you find the value of y when x = 3 in the equation y = 4x + 3?

Back

Substitute x with 3: y = 4(3) + 3 = 12 + 3 = 15.

Front

What is the meaning of the term 'y-intercept'?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If James weighs 150 pounds and gains 5 pounds each year, what is his weight after 3 years?

Back

His weight will be 150 + (5 * 3) = 150 + 15 = 165 pounds.