Review for Unit 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 find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

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 y-intercept in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Convert the equation 3x + 7y = -14 to slope-intercept form.

Back

y = -\frac{3}{7}x - 2.

Front

Convert the equation 3x - 2y = -12 to slope-intercept form.

Back

y = \frac{3}{2}x + 6.

Front

Write the slope-intercept equation for a line with slope \frac{4}{3} passing through the point (2, 4).

Back

y = \frac{4}{3}x + \frac{4}{3}.

Front

What is the general process to convert an equation to slope-intercept form?

Back

1. Solve for y. 2. Rearrange the equation to isolate y on one side.

Front

If a man is descending from a height of 100 feet at a rate of 30 feet per minute, what is the equation representing his height over time?

Back

y = 100 - 30x.

Front

What does the term 'descending' imply in a mathematical context?

Back

'Descending' implies a decrease in value, often represented by a negative slope.