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Line m passes through point (5,- 8) and has a slope - 3. What is the equation for the line point slope form

Sagot :

Answer:

[tex]y + 8 = -3(x-5)[/tex]

Step-by-step explanation:

Point Slope form is:

[tex]y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\text{ m - slope}\\(x_1,y_1) \text{ - point}\\\rule{150}{0.5}[/tex]

We are given the point (5, -8) and the slope of -3.

[tex]y-y_1=m(x-x_1)\rightarrow y - (-8) - -3(x-5)\rightarrow \boxed{y+8=-3(x-5)}[/tex]

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