Which equation represents a line parallel to the line whose equation is -2x + 3y = -4 and passes through the point (1,3)? (1) y-3=-3/2(x-1) (2) y-3= 2/3(x- 1) (3) y+3= -3/2(x+1) (4) y+3=2/3(x+1) To solve this problem, we must first remember that two parallel lines have equal slopes. To find the slope of the first line, we can put it into the form y=mx+b where m is the slope -2x + 3y = -4 3y = 2x-4 y=2/3x-4/3 Therefore, the slope of the first line is 2/3 Now that we know the s

Under which transformation would A B C , the image of ABC, not be congruent to ABC? (1) reflection over the y-axis (2) rotation of 90o clockwise about the origin (3) translation of 3 units right and 2 units down (4) dilation with a scale factor of 2 centered at the origin Explanation and answer: The only transformation listed that changes the size of ABC is dilation, choice (4). Under dilation with a scale of 2, ABC will be double the size of the original and therefore not