12x 2y = 6 , a dilation centered at the origin with a scale factor of 4 is applied to the line. What is the slope
and yintercept after the dilation?
Get the original equation in slopeintercept form.
12x  2y = 6 2y = 12x + 6 {subtracted 12x from each side} y = 6x  3 {divided each side by 2} slope = 6 yintercept = 3 Choose a point on that line, such as the yintercept (0,3) Count the distance from the center of dilation, to that point. From (0,0) to (0,3) is 3. Multiply the distance by the scale factor of 4….. 3 x 4 = 12. Count 12 away from the center of dilation. (0,12) is the new yintercept, and the slope is always the same when dilating lines. Dilations make lines parallel. y = 6x  12 is the new line after the dilation slope = 6 yintercept = 12 Ask Algebra House
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