Question

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!!

Answer 1

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

Explanation:

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

• m is the slope

• b is the y-intercept

The rule of the slope is m =
`(y2-y1)/(x2-x1)` , where

• (x1, y1) and (x2, y2) are two points lie on the line

∵ 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 =
`(-17--5)/(3-1)` =
`(-17+5)/(2)` =
`(-12)/(2)` = -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