Answer:
y = -x - 1
Step-by-step explanation:
y = mx + b
<u>slope (m):</u> Since the line is going downhill, the slope will be negative
slope = rise / run
slope = 1 / 1
slope = 1
m = -1
<u>y - intercept (b):</u> this when x = 0, the line is crossing the vertical line (y-axis)
b = -1
so y = mx + b is
b = -1, m = -1
y = (-1)x + (-1)
Answer:



Step-by-step explanation:
we know that
The sum of interior angles in a triangle must be equal to 180 degrees
so

solve for x





Given:
A line passes through the two points (3,5) and (-1,1).
To find:
The equation of the line in fully reduced point-slope form.
Solution:
If a line passes through two points, then the point slope form of the line is

The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is



Therefore, the point slope form of the line in fully reduced form is
, here 1 is the slope of the line.
Step-by-step explanation:
x(x + 7) = 0
By Zero Product rule,
either x = 0 or (x + 7) = 0.
=> x = 0 or x = -7.
Answer:
Reject H0 since test statistic <-2.492
Step-by-step explanation:
Given that the American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day.
n = 25
x bar = 69
s= 8.3
std error = s/sqrt n = 
H0:
Ha: 
(Left tailed test at 5% significance level)
a) Reject H0 if t
-2.492
b) Test statistic = mean difference/std error
= 
=-3.01
df =24
c) Reject H0