Slope Intercept Form Test

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 y-intercept from a linear equation?

Back

The y-intercept is the value of y when x = 0, represented by the constant term b in the slope-intercept form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the meaning of an undefined slope?

Back

An undefined slope occurs in vertical lines, where the change in x is zero, leading to division by zero.

Front

How can you determine the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) for points (x1, y1) and (x2, y2).

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept often represents a starting value or fixed cost in real-world scenarios, such as the initial charge before any variable costs.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

What is the relationship between parallel lines and their slopes?

Back

Parallel lines have the same slope, meaning they rise and run at the same rate and will never intersect.

Front

What is the relationship between perpendicular lines and their slopes?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one slope is m, the other is -1/m.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.