Question

What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?

A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)​​

Answer 1

The equation of the line is y - 12 =
`(5)/(6)` (x + 9) ⇒ B

Explanation:

The slope-point form of the linear equation is

y - y1 = m(x - x1), where

• m is the slope of the line

• (x1, y1) are the coordinates of a point lie on the line

∵ The slope of a line is
`(5)/(6)`

∴ m =
`(5)/(6)`

∵ The line passes through point (-9, 12)

∴ x1 = -9 and y1 = 12

→ Substitute these values in the form of the equation above

∵ y - 12 =
`(5)/(6)` (x - -9)

→ Remember (-)(-) = (+)

∴ y - 12 =
`(5)/(6)` (x + 9)

∴ The equation of the line is y - 12 =
`(5)/(6)` (x + 9)