Question

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 line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)? line AB line CD line FG line HJ

Answer 1

Answer:

(D)Line HJ

Step-by-step explanation:

Two lines are parallel if their slopes are the same.

Out of the given lines, on observation, only HJ has a slope of 3.

Line H J goes through (-1, -4) and (1, 2)

Slope of HJ

$= \dfrac{2-(-4)}{1-(-1)}\\= \dfrac{2+4}{1+1}\\= \dfrac{6}{2}=3$

Therefore line HJ is the line which is parallel to a line that has a slope of 3 and a y-intercept at (0, 0).