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Sagot :
Two lines are parallel if:
[tex]m1=m2[/tex]For the line:
[tex]\begin{gathered} y=-\frac{3}{4}x+4 \\ \text{Its slope is:} \\ m1=-\frac{3}{4} \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} m2=m1 \\ m2=-\frac{3}{4} \end{gathered}[/tex]Let:
(x1,y1)=(-2,3)
Using the point slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-3=-\frac{3}{4}(x+2) \\ y-3=-\frac{3}{4}x-\frac{3}{2} \\ y=-\frac{3}{4}x-\frac{3}{2}+3 \\ y=-\frac{3}{4}x+\frac{3}{2} \end{gathered}[/tex]
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