Line g is dilated by a scale factor of 3 from the origin to create line g'. where are points e' and f' located after dilation, and how are lines g and g' related?

the locations of e' and f' are e' (−4, 0) and f' (0, 2), and lines g and g' are the same line.

the locations of e' and f' are e' (−2, 0) and f' (0, 1), and lines g and g' intersect at point f.

the locations of e' and f' are e' (−1, 0) and f' (0, 0), and lines g and g' are not related.

the locations of e' and f' are e' (−12, 0) and f' (0, 6), and lines g and g' are parallel.

The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Step-by-step explanation:

The diagrma shows the straight line passing through the points E(-4,0) and F(0,2).

The dilation by a scale factor of 3 from the origin has the rule

Thus,

The dilation is a transformation which preserves parallel lines, so correct option is last option:

The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Step-by-step explanation:

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step-by-step explanation: