Answer:
$35
Step-by-step explanation:
175/5 = 35
have a nice day! (maybe get this double checked in case I did it wrong :D)
Two points determine a line. In slope intercept form we have:
y = -2x + b
So:
-12 = -2(3) + b and [first equation]
k = -2(6) + b [second equation]
We have a system of simultaneous equations with two unknowns. The first is trivially easy to solve:
-12 = -6 + b [Evaluate -2(3)]
-6 = b [Add +6 to each side]
So we substitute this into the second equation:
k = -2(6) + -6 = -18
We could double check our work knowing that m=Δy/Δx
We expect m to be -2. Does:
-2 = (-18 - -12)/(6 - 3) = -6/3 = -2?
;)
X + 5x = -2
6x = -2
6 6
x = ⁻¹/₃
x + 5y = 4
⁻¹/₃ + 5y = 4
+ ¹/₃ + ¹/₃
5y = 4¹/₃
5 5
y = ¹³/₁₅
(x, y) = (⁻¹/₃, ¹³/₁₅)
It is consistent and independent.
y = 3x + 4
-2x + y = 4
-2x + y = 4
-2x + 3x + 4 = 4
x + 4 = 4
- 4 - 4
x = 0
y = 3x + 4
y = 3(0) + 4
y = 0 + 4
y = 4
(x, y) = (0, 4)
It is consistent and independent.
y = -x + 3
2x + 2y = 6
2x + 2y = 6
2x + 2(-x + 3) = 6
2x + 2(-x) + 2(3) = 6
2x - 2x + 6 = 6
6 = 6
It is consistent and dependent.
5x + 2y = -4
5x - 2y = 3
10x = -1
10 10
x = ⁻¹/₁₀
5x + 2y = -4
5(⁻¹/₁₀) + 2y = -4
⁻¹/₂ + 2y = -4
+ ¹/₂ + ¹/₂
2y = -3¹/₂
2 2
y = -1³/₄
(x, y) = (⁻¹/₁₀, -1³/₄)
It is consistent and independent.
Answer:
y-intercept is at (0, 5) for y = 5
Step-by-step explanation:
for y = 5 is a horizontal line
