Mid-Term Review part A

Front

What is the slope of a line parallel to the line represented by the equation y = -2x + 10?

Back

The slope is -2.

Front

If Jack's hot air balloon is at a height of 920 feet, what are the possible heights of Jill's balloon if the equation |x - 920| = 120 is used?

Back

The possible heights are 800 feet and 1,040 feet.

Front

How are the slopes of perpendicular lines related?

Back

They are opposite reciprocals.

Front

What is the y-intercept of the linear equation 3x - 4y = -12?

Back

The y-intercept is (0, 3).

Front

Which equation represents the line shown on the coordinate plane if the correct equation is y = \frac{7}{4}x + \frac{4}{3}?

Back

The equation is y = \frac{7}{4}x + \frac{4}{3}.

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

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

Back

The slope m is given by m = \frac{y2 - y1}{x2 - x1}.

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

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

Back

Rearrange the equation to solve for y in terms of x.