Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = 
= 
, thus
y = x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = 
+ c ⇒ c = - 3 - = - 
y = x - ← equation of line
Answer:
k = -7
Step-by-step explanation:
Solve for k:
-7 k - 44 = k + 12
Subtract k from both sides:
(-7 k - k) - 44 = (k - k) + 12
-7 k - k = -8 k:
-8 k - 44 = (k - k) + 12
k - k = 0:
-8 k - 44 = 12
Add 44 to both sides:
(44 - 44) - 8 k = 44 + 12
44 - 44 = 0:
-8 k = 12 + 44
12 + 44 = 56:
-8 k = 56
Divide both sides of -8 k = 56 by -8:
(-8 k)/(-8) = 56/(-8)
(-8)/(-8) = 1:
k = 56/(-8)
The gcd of 56 and -8 is 8, so 56/(-8) = (8×7)/(8 (-1)) = 8/8×7/(-1) = 7/(-1):
k = 7/(-1)
Multiply numerator and denominator of 7/(-1) by -1:
Answer: k = -7
