Slope Intercept Review

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

The slope is 4.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line decreases; for every 1 unit increase in x, y decreases by 2 units.

Front

What is the equation of a line with a slope of 3 that passes through the point (2, 1)?

Back

y = 3x - 5.

Front

What does the term 'rise over run' refer to in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.