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Help please!What is the x-intercept of the line?X=-21 Y=-64X=-15 Y=-48X=-9 Y=-32

User Sumak
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1 Answer

5 votes

Given data:

The first coordinate is (-21, -64).

The second coordinat is (-15, -48).

The expression for the equation of the line passing through the given points is,


\begin{gathered} (y-(-64))=(-48-(-64))/(-15-(-21))(x-(-21))_{} \\ y+64=(16)/(6)(x+21) \\ 3y+192=8x+168 \\ 8x-3y-24=0 \end{gathered}

Substitute 0 for y to get x intercept.


\begin{gathered} 8x-3(0)-24=0 \\ 8x=24 \\ x=3 \end{gathered}

Thus, the x-intercept is (3,0).

User Layne
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7.2k points