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 two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

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

Back

The y-intercept is -3.

Front

How can you identify if a linear equation has a negative slope?

Back

If the coefficient of x (m) is negative, the slope is negative, indicating the line descends from left to right.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you convert the general form of a linear equation to slope-intercept form?

Back

Rearrange the equation to solve for y, resulting in the form y = mx + b.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept can represent the starting value or initial condition in a real-world scenario.