Question

What is the equation of the graphed line in standard form?

A. 12x+y=6

B. −2x+y=6

C. 12x−y=−6

D. y = 2x + 6

Answer 1

`(1)/(2)x-y=-6`

Explanation:

Let

`A(0,6),B(4,8)` ------> observing the graph

The point A is the y-intercept of the line

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(8-6)/(4-0)`

`m=(2)/(4)`

`m=(1)/(2)`

Find the equation of the line into slope-intercept form

`y=mx+b`

we have

`m=(1)/(2)`

`b=6` ------> remember point A

substitute

`y=(1)/(2)x+6`

Convert to standard form

`(1)/(2)x-y=-6`