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Instructions: Find the slope between the two points given. Then, use the slope and the first point to write the equation of the line in Point-Slope form. State the slope.

Instructions Find the slope between the two points given Then use the slope and the first point to write the equation of the line in PointSlope form State the s class=

Respuesta :

Let:

[tex]\begin{gathered} (x1,y1)=(-4,5) \\ (x2,y2)=(0,0) \end{gathered}[/tex]

The slope is given by:

[tex]slope=m=\frac{y2-y1}{x2-x1}=\frac{0-5}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}[/tex]

Using the point-slope equation:

[tex]\begin{gathered} y-y1=m(x-x1) \\ Slope:-\frac{5}{4}=m \\ point:(-4,5)=(x1,y1) \\ so: \\ y-5=-\frac{5}{4}(x+4) \end{gathered}[/tex]

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