Which equation represents the line that passes through points (1,-5) and (3, -17)? y=-6x+1
Oy - 6x + 1
y=-6x-1
O y=x-1

Need ASAP!!

The equation y = -6x + 1 represents the line ⇒ A

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = , where

∵ The line passes through points (1, -5) and (3, -17)

∴ x1 = 1 and y1 = -5

∴ x2 = 3 and y2 = -17

→ Substitute them in the rule of the slope to find it

∵ m = = = = -6

∴ m = -6

→ Substitute it in the form of the equation above

∴ y = -6x + b

→ To find b substitute x by 1 and y by -5 in the equation

∵ -5 = -6(1) + b

∴ -5 = -6 + b

→ Add 6 to both sides

∴ 1 = b

→ Substitute it in the equation

∴ y = -6x + 1

∴ The equation y = -6x + 1 represents the line

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)