Slope and Linear Functions Equations

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert to slope-intercept form: x + 6y = -2

Back

y = -\frac{1}{6}x - \frac{1}{3}

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Evaluate: -5(-5x + 6)

Back

25x - 30

Front

If a line has a slope of -3 and passes through the point (0, 5), what is the equation of the line?

Back

y = -3x + 5

Front

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

Back

The slope m is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

What does it mean if two lines are parallel in terms of slope?

Back

Two lines are parallel if they have the same slope.

Front

What does it mean if two lines are perpendicular in terms of slope?

Back

Two lines are perpendicular if the product of their slopes is -1.