WILL MARK BRAINLEST PLEASE HELP ;w; what was Genghis

Ответ:

thecoolgirl02

24.06.2022

x-2y=-12

Step-by-step explanation:

Hi there!

1) Determine the equation of the line in slope-intercept form

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

Plug in the slope $\frac{1}{2}$

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

Plug in the given point (6,9) and solve for b

$9=\frac{1}{2}(6)+b\\9=3+b$

Subtract 3 from both sides

$9-3=3+b-3\\6=b$

Plug 6 back into $y=\frac{1}{2}x+b$

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

2) Rearrange the equation into standard form

Standard form: Ax+By=C where A, B and C are integers and A is typically positive

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

Multiply both sides by 2 to remove the fraction

$2y=1x+12\\2y=x+12$

Subtract x from both sides to isolate 12 as C

$2y-x=x+12-x\\2y-x=12\\-x+2y=12$

Multiply both sides by -1 to make A positive

x-2y=-12

I hope this helps!

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