Answer:
Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]
Equation of the line: [tex]y=mx+b[/tex]
Add in the slope in place of ([tex]m[/tex])
[tex]y=-1x+b[/tex]
Add in the x value of the given point in place of ([tex]x[/tex])
[tex]y=(-1)\frac{1}{2}+b[/tex]
Add in the y value of the given point in place of ([tex]y[/tex])
[tex]0=(-1)\frac{1}{2} + b[/tex]
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Solve:
[tex]0=(-1)\frac{1}{2} +b[/tex]
Multiply -1 and [tex]\frac{1}{2}[/tex]
[tex]-1 *\frac{1}{2}=-\frac{1}{2}[/tex]
So,
[tex]0=-\frac{1}{2} +b[/tex]
Now, add [tex]-\frac{1}{2}[/tex] to 0
[tex]0=-\frac{1}{2} +b[/tex]
[tex]+\frac{1}{2}[/tex] [tex]+\frac{1}{2}[/tex]
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[tex]\frac{1}{2} = b[/tex]
Replace ([tex]b[/tex]) with [tex]\frac{1}{2}[/tex]
Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
