Question

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

Answer 1

A. 12x+y=6B. −2x+y=6

Answer 2

Answer:

$\frac{1}{2}x-y=-6$

Step-by-step 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

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{8-6}{4-0}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

Find the equation of the line into slope-intercept form

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=6$  ------> remember point A

substitute

$y=\frac{1}{2}x+6$

Convert to standard form

$\frac{1}{2}x-y=-6$