Answer:
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
