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

How do you identify the slope from a point-slope equation?

Back

In the point-slope form, y - y1 = m(x - x1), the slope m is the coefficient of (x - 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, indicating how steep the line is.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, isolate y: y - y1 = m(x - x1) becomes y = mx + (y1 - mx1).

Front

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

Back

The slope m is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you write an equation in point-slope form given a slope and a point?

Back

Use the formula: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the significance of the ordered pair in the context of slope?

Back

The ordered pair (x, y) represents a specific point on the line, which can be used to determine the line's equation.

Front

How do you find the slope from a linear equation in standard form Ax + By = C?

Back

Rearrange to slope-intercept form (y = mx + b) to identify the slope m as -A/B.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.