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 find the y-intercept from a linear equation?

Back

Set x to 0 in the equation and solve for y.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

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

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Solve for y to isolate it on one side of the equation.