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