Question

The line y=−13x+4 passes through which of the following points?

Answer 1

Option C

$\text{The line } y=\frac{-1}{3}x+4 \text { passes through } (3, 3)$

Solution:

Given that line is:

$y = \frac{-1}{3}x + 4$

Let us check the options one by one

Option A

(1, -4)

Substitute x = 1 and y = -4

$-4 = -\frac{1}{3} \times 1 + 4\\\\-4 = \frac{-1+12}{3}\\\\-12 = -1 + 12\\\\-12\neq 11$

Thus the line does not passes through (1, -4)

Option B

(6, 4)

Substitute x = 6 and y = 4

$4= \frac{-1}{3} \times 6+4\\\\-4 = -2 + 4\\\\-4\neq 2$

Thus the line does not passes through (6, 4)

Option C

(3, 3)

Substitute x = 3 and y = 3

$3 = \frac{-1}{3} \times 3 + 4\\\\3 = -1 + 4\\\\3 = 3$

Thus the line does not passes through (3, 3)

Option D

(0, -1)

Substitute x = 0 and y = -1

$-1 = \frac{-1}{3} \times 0 + 4\\\\-1\neq 4$

Thus the line does not pass through this point