Question

Find the slope of the line described by −3x 2y = −24?

a) 3/2
b) 2/3
c) −3/2
d) −2/3

Answer 1

The slope of the line described by the equation −3x + 2y = −24 is 3/2, found by rewriting the equation in slope-intercept form and identifying the coefficient of x.

Step-by-step explanation:

To find the slope of the line described by the equation −3x + 2y = −24, you first need to rewrite the equation in slope-intercept form, which is y = mx + b, where m stands for the slope, and b is the y-intercept. So, let's isolate y:

1. Divide the entire equation by 2 to simplify it: −3x + 2y = −24 becomes −1.5x + y = −12.
2. Now, add 1.5x to both sides to get y by itself: y = 1.5x − 12.

The coefficient of x, which is 1.5, represents the slope of the line. Therefore, the slope of the line is 1.5 or 3/2, which corresponds to option c) −3/2.