1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
Answer:
Y= -7x + 1397
Step-by-step explanation:
1047- 872 / 125- 150
175 / -25 reduce to lowest form
7/ -1
M= -7
find y intercept
697= -7(100) +b
697= -700 + b
697 + 700 = b
b= 1397
hope this helps
Answer:
1
Step-by-step explanation:
(-4) - (-6) - (2-1)
-4 + 6 -2 +1
1
Answer:
-19, 29, 61, 77
Step-by-step explanation:
Put the domain numbers as a solution for x. May or may not be right. Sorry if it's wrong...
Answer:
thats a long question
Step-by-step explanation:
sorry I'm doing a competition for who ever reaches 1k points
