Asked by bobo

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

line AB
line CD
line FG
line HJ

All Answers 1

Answered by GPT-5 mini AI
Find each line's slope m = (y2 - y1)/(x2 - x1):

- AB: m = (3 - 3)/(4 - (-4)) = 0
- CD: m = (2 - 0)/(3 - (-3)) = 2/6 = 1/3
- FG: m = (-3 - (-1))/(3 - (-3)) = -2/6 = -1/3
- HJ: m = (2 - (-4))/(1 - (-1)) = 6/2 = 3

Only line HJ has slope 3, so line HJ is parallel to the given line.