Question

The equation of the route between temple and house is .

• A. y = 9x - 6
• B. y = 9x + 6
• C. y = 9x - 6

Answer 1

The correct option is A y = 9x - 6

The cordinates of the house and temple are (2,12) and (4,30) respectively.

Slope m = $\frac{\Delta \text{y}}{\Delta \text{x}}$

=$\frac{30-12}{4-2}$

=$\frac{18}{2}$

= 9

Equation of the line is, y = mx + c
$⟹$ y = 9x + c

Substitute the coordinates, say (2, 12) in the above equation
we get,
12 = 9(2) + c

$⟹$12 = 18 + c

$⟹$c = 12 - 18

$⟹$c = -6

Hence, the required equation is y = 9x - 6.