Question

What equation is graphed in this figure?

y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)​

Answer 1

y−5=3(x−1)

Explanation:

Answer 2

y - 5 = 3(x - 1)

Explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since slope of a line passing through two points
`(x_1, y_1)` and
`(x_2,y_2)` is represented by,

m =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through (0, 2) and (1, 5) is,

m =
`(5-2)/(1-0)` = 3

Now equation of the line passing through a point (1, 5) and slope = 3 will be,

y - 5 = 3(x - 1)

Option (4) is the answer.