Answer:
[tex]\rm{y=-1/4x+5[/tex]
Step-by-step explanation:
Hi there!
Given:
A point that the line passes through: (12,2)
The slope of the line: -1/4
Can we use this information to determine the equation of the line? Yes, sure!
Since we know a point that the line passes through, and its slope, we can determine the line's equation by using Point-Slope:
[tex]\rm{y-y1=m(x-x1)[/tex]
Plug in the values:
[tex]\rm{y-2=-1/4(x-12)}\\\rm{y-2=-1/4x+3}\\\rm{y=-1/4x+5[/tex]
Thus, [tex]\rm{y=-1/4x+5[/tex] is our answer.
Hope this helps you. Please press the "Brainliest" button if it does.
[tex]\star\star[/tex]Enjoy your day!
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