Answer:
The image of the point is (-18, -12)
Step-by-step explanation:
<em>If the point </em><em>(x, y)</em><em> dilated by a scale factor </em><em>k</em><em> centered at the </em><em>origin</em><em>, then its image is </em><em>(kx, ky)</em>
Let us use this rule to solve the question
∵ The given point is (-6, -4)
∴ x = -6 and y = -4
∵ The scale factor of the dilation is 3
∴ k = 3
∵ The center of dilation is the origin
→ By using the rule above
∴ The image of the point = (-6 × 3, -4 × 3)
∴ The image of the point = (-18, -12)
∴ The image of the point is (-18, -12)
