Rewrite the first function so that the two functions are in standard form:
y - 3 = -2x - 8 => y = 3 - 2x - 8 => y = -2x - 5
and
y= -2x - 5
We can now see immediately that these two functions have the same slope (-2) and same y-intercept (providing that you meant "y = -2x - 5).
The graphs of these 2 functions are identical.
Hi,
a line is define by the following equation : y = ax+b
where a is the slope, and b the value for x = 0
so you have : a*3 +b = 3 for the first point
a*(-5) +b = 4 for second point
so you have a system : 3a+b =3
-5a+b = 4
so : 3a+b -(-5a) -b = 3-4
3a+5a +b-b = -1
8a = -1
a = -1/8
then a = -1/8 so , in remplacing a by it's value in one equation , b is : 3(-1/8) +b = 3
-3/8 +b = 3
b = 3 +3/8
b = 24/8 +3/8
b = 27/8
let's check : 3 (-1/8) + 27/8 = -3/8 +27/8 = 24/8 = 3
first point is correct
-5( -1/8) + 27/8 = 5/8 +27/8 = 32/8 = 4
second point is correct
line is y = -1/8X +27/8
Answer:
75°
Step-by-step explanation:
A. NOT
(-5, 2) → x = -5, y = 2
y ≤ x - 5 → 2 ≤ -5 - 5 → 2 ≤ -10 FALSE
B. YES
(5, -2) → x = 5, y = -2
y ≤ x - 5 → -2 ≤ 5 - 5 → -2 ≤ 0 TRUE
y ≥ -x - 4 → -2 ≥ -5 - 4 → -2 ≥ -9 TRUE
C. NOT
(-5, -2) → x = -5, y = -2
y ≤ x - 5 → -2 ≤ -5 - 5 → -2 ≤ -10 FALSE
D. NOT
(5, 2) → x = 5, y = 2
y ≤ x - 5 → 2 ≤ 5 - 5 → 2 ≤ 0 FALSE
