7.7A y = mx + b

Front

What is the formula for the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the line, indicating the steepness and direction.

Front

What does 'b' represent in the equation y = mx + b?

Back

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

Front

How do you find the y-intercept from an equation?

Back

Set x = 0 and solve for y.

Front

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

Back

3, which means for every 1 unit increase in x, y increases by 3 units.

Front

What is the y-intercept of the equation y = -2x + 4?

Back

4, which is the point (0, 4) on the y-axis.

Front

If a line has a positive slope, what does that indicate about the line's direction?

Back

The line rises from left to right.

Front

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

Back

The line falls from left to right.

Front

What is the equation of a line with a slope of 0?

Back

y = b, where b is a constant, indicating a horizontal line.

Front

What is the equation of a vertical line?

Back

x = a, where a is a constant, indicating that x is always the same.