Question

Which equation represents the line that passes through points (0, 6) and (2, 0)?

y=-3x+2
y=-3x+6
y=-3x+2
y=-3x+6

Answer 1

`y=-3x+6`

Explanation:

Equation of line passing through two points:

`Equation\ of\ line\ passing\ through\ two\ points\ (x_1,y_1)\ and\ (x_2,y_2)\\\\(y-y_1)=((y_2-y_1))/((x_2-x_1))(x-x_1)\\\\(x_1,y_1)=(0,6)\\\\(x_2,y_2)=(2,0)\\\\(y-6)=((0-6))/((2-0))(x-0)\\\\y-6=(-6)/(2)(x-0)\\\\y-6=-3(x-0)\\\\y-6=-3x\\\\y=-3x+6`