Question

PLS HELP ............................

Answer 1

The slope-intercept form is y =
`-(3)/(4)` x + 8 ⇒ B

Explanation:

The slope-intercept form of the linear equation is:

y = m x + b, where

• m is the slope

• b is the y-intercept

From the given in the question

∵ The slope of the line is
`-(3)/(4)`

∴ m =
`-(3)/(4)`

→ Substitute its value in the form of the equation above

∴ y =
`-(3)/(4)` x + b

→ To find b substitute x and y by the coordinates of any point on the line

∵ The line passes through the point (8, 2)

∴ x = 8 and y = 2

∵ 2 =
`-(3)/(4)` (8) + b

∴ 2 = -6 + b

→ Add 6 to both sides to find b

∴ 2 + 6 = -6 + 6 + b

∴ 8 = b

→ Substitute the value of b in the equation above

∴ y =
`-(3)/(4)` x + 8

∴ The slope-intercept form is y =
`-(3)/(4)` x + 8