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

In the equation y=mx+b, what does 'm' represent?

Back

The slope of the line, which indicates the steepness and direction of the line.

Front

In the equation y=mx+b, what does 'b' represent?

Back

The y-intercept, which is the point where the line crosses the y-axis.

Front

How do you determine the slope from the equation y=3x-4?

Back

The slope is the coefficient of x, which is 3.

Front

What is the y-intercept of the equation y=-2x+5?

Back

The y-intercept is 5, which is the value of b in the equation.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

It indicates that the line descends from left to right.

Front

How can you identify a positive slope in an equation?

Back

A positive slope is indicated by a positive coefficient of x in the equation.

Front

What is the significance of the y-intercept in a linear equation?

Back

It indicates the starting point of the line on the y-axis when x=0.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y=-3x-5?

Back

The slope is -3.