Question

What is the equation of the line graphed below?

Select the correct answer below.


A.1/2x+y=3

B.1/2x+y=6

C.-1/2x+y=3

D.-1/2x+y=6

Answer 1

1/2x + y = 3

Solve the equation to put it in slope intercept form. (y=mx+b)

1/2x + y = 3

Subtract 1/2x from both sides.

y = -1/2x + 3

The y-intercept (where the line crosses the y-axis) is three and the slope (rise over run) is -1/2.

Hope this helps!

Answer 2

Answer: A.
`(1)/(2)x+y=3`

Explanation:

The equation of a line passing through two points (a,b) and (c,d) is given by :-

`(y-b)=(d-b)/(c-a)(x-a)`

Then the equation of a line passing through two points (0,3) and (6,0) is given by :-

`(y-3)=(0-3)/(6-0)(x-0)\\\\\Rightarrow\ y-3=(-1)/(2)x\\\\\Rightarrow\ (1)/(2)x+y=3`

Hence, the equation which is graphed in the given picture :-

`(1)/(2)x+y=3`