Question

What is the slope of 8x 5y = 3?

a) m = -5
b) m = -8
c) m = 3
d) m = - 5⁄8
e) m = - 8⁄5

Answer 1

The slope of the equation 8x + 5y = 3 is found by rearranging the equation into slope-intercept form, yielding the slope -8/5, which is option E.

Step-by-step explanation:

The question asks us to find the slope of the equation 8x + 5y = 3. To do so, we must first put the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Starting with 8x + 5y = 3, we subtract 8x from both sides to isolate the y-term on one side: 5y = -8x + 3.

Then, we divide all terms by 5 to solve for y: y = (-8/5)x + 3/5. From this form, we can see that the slope, m, is -8/5.

To meet the requirements for the provided answers, we look at the options and see that the mentioned correct answer in the final answer is m = -8/5, which corresponds to option E.