8. Graph the image of the rectangle below using a scale factor of k=5/2 J'(underline ( ),underline ( )) K'(underline ( ),underline ( )) L'(underline ( ),underline ( )) M'(underline ( ),underline ( ))

To graph the image of the quadrilateral KLMJ using a scale factor of \(k = \frac{5}{2}\), we need to multiply the coordinates of each vertex by \(\frac{5}{2}\).Let's calculate the new coordinates for each point step by step:1. For point K(3,2):\[K'(x', y') = \left(3 \cdot \frac{5}{2}, 2 \cdot \frac{5}{2}\right)\]\[K'(x', y') = \left(\frac{15}{2}, \frac{20}{2}\right)\]\[K'(x', y') = (7.5, 10)\]2. For point L(5,-1):\[L'(x', y') = \left(5 \cdot \frac{5}{2}, -1 \cdot \frac{5}{2}\right)\]\[L'(x', y') = \left(\frac{25}{2}, \frac{-5}{2}\right)\]\[L'(x', y') = (12.5, -2.5)\]3. For point M(3,-4):\[M'(x', y') = \left(3 \cdot \frac{5}{2}, -4 \cdot \frac{5}{2}\right)\]\[M'(x', y') = \left(\frac{15}{2}, \frac{-20}{2}\right)\]\[M'(x', y') = (7.5, -10)\]4. For point J(1,-2):\[J'(x', y') = \left(1 \cdot \frac{5}{2}, -2 \cdot \frac{5}{2}\right)\]\[J'(x', y') = \left(\frac{5}{2}, \frac{-10}{2}\right)\]\[J'(x', y') = (2.5, -5)\]Now we have the new coordinates for the image of the quadrilateral after scaling:\[J'(2.5, -5)\]\[K'(7.5, 10)\]\[L'(12.5, -2.5)\]\[M'(7.5, -10)\]These are the final answers for the coordinates of the image of quadrilateral KLMJ after applying the scale factor of \(\frac{5}{2}\).