Answer: C.) −0.75
Step-by-step explanation:
We will use the formula:
When a line segment joining [tex]\left(x_{1},y_{1}\right)\ and\ \left(x_{2},y_{2}\right)[/tex] is divided in m:n ratio by a point then the coordinate of the point is:
[tex]\left(\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n}\right)[/tex]
Here ratio = m:n = [tex]\frac{1}{4}:\left(1-\frac{1}{4}\right)=\frac{1}{4}:\frac{3}{4}=1:3[/tex].
Using this formula the x-coordinate will be = [tex]\frac{1\left(-3\right)+3\left(0\right)}{1+3}=-0.75[/tex].
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