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Answer: [tex]\textsf{y = -1/4x - 4}[/tex]
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Given: [tex]\textsf{Slope = -1/4, Point through = (4, -5)}[/tex]
Find: [tex]\textsf{Equation for the line that passes through the given point}[/tex]
Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.
Plug in the values
Simplify and solve for y
Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.
