Unit 3 Skill Check

Front

What is the formula to calculate 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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined angle and the x-coordinates of the points are the same.

Front

How do you determine if a slope is positive, negative, or undefined?

Back

A slope is positive if it rises from left to right, negative if it falls from left to right, and undefined if the line is vertical.

Front

What is the slope of a line that passes through the points (10, -8) and (1, 12)?

Back

The slope is -20/9.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write the equation of a line given its slope and a point on the line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 7/5, what does this indicate about the rise and run?

Back

It indicates that for every 7 units of rise, there are 5 units of run.

Front

What is the significance of the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.