Review 1

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

In the slope-intercept form (y = mx + b), what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

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

Back

To find the y-intercept, set x = 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

What is the y-intercept in the equation y = 5x - 4?

Back

The y-intercept is -4.

Front

How can 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 does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

What is the equation of a line with a slope of -0.5 and a y-intercept of 5?

Back

The equation is y = -0.5x + 5.