y=mx+b

Front

What does the equation y=mx+b represent?

Back

It represents a linear equation where 'm' is the slope, 'b' is the y-intercept, and 'x' and 'y' are variables.

Front

What is the slope in the equation y=mx+b?

Back

The slope 'm' indicates the steepness of the line and the direction it goes. A positive slope rises from left to right, while a negative slope falls.

Front

What does the y-intercept 'b' represent 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

If the slope 'm' is 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

Front

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

Back

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

Front

What does the term 'linear' mean in the context of the equation y=mx+b?

Back

'Linear' means that the relationship between x and y is a straight line, indicating a constant rate of change.

Front

In the equation t = 30m + 50, what does '30' represent?

Back

In this equation, '30' represents the amount Amanda pays each month after the initial payment.

Front

What does 'per' indicate in the context of the slope 'm'?

Back

The term 'per' indicates a rate, showing how much y changes for each unit change in x.

Front

If the equation of a line is y = -rac{4}{3}x + 1, what is the y-intercept?

Back

The y-intercept is 1, which is the value of y when x = 0.

Front

How do you convert the equation y = 3x + 2 into slope-intercept form?

Back

The equation is already in slope-intercept form, which is y = mx + b.