Answered

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Equation (Use / for a fraction, include "y=" and no spaces)

Equation Use For A Fraction Include Y And No Spaces class=

Sagot :

To find the equation, first, we have to find the slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's replace the points (-4,-7) and (2,-4).

[tex]m=\frac{-4-(-7)}{2-(-4)}=\frac{-4+7}{2+4}=\frac{3}{6}=\frac{1}{2}[/tex]

Then, we use the point-slope equation.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-4)=\frac{1}{2}(x-2) \\ y+4=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1-4 \\ y=\frac{1}{2}x-5 \end{gathered}[/tex]

Hence, the equation is

[tex]y=\frac{1}{2}x-5[/tex]

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