Answer:
The equations that represent the equation of the line are:
y = -2x + 16 ⇒ A
2x + y = 16 ⇒ D
y - 6 = -2(x - 5) ⇒ E
Step-by-step explanation:
The slope intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (y at x = 0)
The formula of the slope is 
∵ The line is passing through points (5 , 6) and (4 , 8)
∴
= 5 and
= 4
∴
= 6 and
= 8
- Substitute them in the formula of the slope to find it
∵ 
∴ m = -2
- Substitute it in the form of the equation
∴ y = -2 x + b
- To find b substitute x and y in the equation by the coordinates
of any point in the line
∵ x = 5 and y = 6
∴ 6 = -2(5) + b
∴ 6 = -10 + b
- Add 10 to both sides
∴ 16 = b
∴ y = -2 x + 16
∴ The equation of the line is y = -2x + 16
∴ A represents the equation of the line
∵ 2x + y = 16
- Subtract 2x from both sides
∴ y = -2x + 16
∴ D represents the equation of the line
∵ y - 6 = -2(x - 5)
∴ y - 6 = -2x + 10
- Add 6 to both sides
∴ y = -2x + 16
∴ E represents the equation of the line
The equations that represent the equation of the line are:
y = -2x + 16 ⇒ A
2x + y = 16 ⇒ D
y - 6 = -2(x - 5) ⇒ E
Answer:
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
So here, the center is (-2, 4), and the radius is 5.
Here's a graph: desmos.com/calculator/5zqdaam1w2
Answer:
Step-by-step explanation:
Yes, integers like 27,57,87,117,.... and so on gives a remainder of 2 when it is divided by 5 and a remainder of 3 when it is divided by 6.
Answer:
u gotta answer
Step-by-step explanation:
choose a random question and answer it :)