review for flashcard slope

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

Slope = 2

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

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

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

What is the y-intercept in the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

How do you convert the standard form of a line Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

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

Back

The slope is -2.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -3?

Back

y = x - 3.