Can someone please help me with number 8 on Homework 2

Equation in slope-intercept form: y = -⅕x - 3

Slope: -⅕

y-intercept: -3

Explanation:

Homework 2, number 8:

Given:

x + 5y = -15

Required:

a. Rewrite in slope-intercept form

b. Identify the slope (m) and y-intercept (b)

Solution:

Recall: Slope-intercept equation form is given as y = mx + b.

m = slope

b = y-intercept

a. Rewrite x + 5y = -15 in slope-intercept form

x + 5y = -15

subtract x from each side

5y = -x - 15

Divide both sides by 5

y = -x/5 - 15/5

y = -⅕x - 3

b. Identify the slope (m) and y-intercept (b):

Form the equation we've rewritten in (a) above, we can deduce that,

Slope (m) = -⅕

y-intercept (b) = -3