unit 1B sample work: slope Connexus

Answer 1

Here is an example of sample work for Unit 1B on slope in Connexus:

Question 1: Find the slope of the line that passes through the points (2, 4) and (6, 8).

Solution:
To find the slope of the line passing through two points, we can use the formula:

slope = (y2 -y1) / (x2 - x1)

Using the given points (2, 4) and (6, 8), we can substitute the values into the formula:

slope = (8 - 4) / (6 - 2)
slope = 4 / 4
slope = 1

Therefore, the slope of the line passing through the points (2, 4) and (6, 8) is 1.

Question 2: Given the equation y = 2x + 3, what is the slope?

Solution:
The equation is in slope-intercept form, y = mx + b, where m represents the slope.

In this equation, the coefficient of x is 2, so the slope is 2.

Therefore, the slope of the line represented by the equation y = 2x + 3 is 2.

Question 3: Find the slope of the line parallel to the line represented by the equation y = -3x + 2.

Solution:
The given equation is in slope-intercept form, y = mx + b. In this equation, the coefficient of x is -3, and since the slopes of parallel lines are equal, the slope of any line parallel to this line will also be -3.

Therefore, the slope of the line parallel to the line represented by the equation y = -3x + 2 is -3.