Unit 4 Midunit Flashcard

Front

What is the slope of a line perpendicular to the line whose equation is: -2x + y = -7?

Back

The slope of the given line is 2. The slope of a line perpendicular to it is the negative reciprocal, which is -1/2.

Front

What equation represents the height of an object that decreases by 7 feet every second, starting from 100 feet?

Back

The equation is h = 100 - 7s, where h is the height and s is the time in seconds.

Front

How do you find the equation of a line that passes through two points, (-1, 5) and (3, 1)?

Back

First, calculate the slope (m) using m = (y2 - y1) / (x2 - x1). Then use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does the slope of a line represent in a graph?

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 standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert the slope-intercept form to standard form?

Back

To convert y = mx + b to Ax + By = C, rearrange the equation to get all terms on one side.

Front

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

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.