Question

What is the slope of the line identified by 4x - 6y = -37? Which statement below represents a verbal description of the slope?

A. 2 units up, 3 units to the right
B. 3 units down, 2 units to the right
C. 3 units up, 4 units to the left
D. 3 units down, 4 units to the left

Answer 1

4x - 6y = -37

-6y = -4x - 37

y = (2/3)x + (37/6)

The correct answer is A.

Answer 2

The slope of the line 4x - 6y = -37 is 2/3, and the corresponding verbal description is '2 units up, 3 units to the right', which is option A.

Step-by-step explanation:

The slope of the line represented by the equation 4x - 6y = -37 can be found by rewriting the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Solving for y, we divide the entire equation by -6:

• (4/-6)x + (37/6) = y
• Therefore, the slope (m) of the line is 2/3, which can be described verbally as 2 units up, 3 units to the right.

Thus, the correct statement to describe the slope verbally is option A: 2 units up, 3 units to the right.