which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y…

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)?\nline ab\nline cd\nline fg\nline hj

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)?\nline ab\nline cd\nline fg\nline hj

Answer

Explanation:

Step1: Recall parallel - line property

Parallel lines have equal slopes.

Step2: Find slopes of given lines

For line (AB), it is a horizontal line, slope (m_{AB}=0). For line (CD), using two - point formula (m=\frac{y_2 - y_1}{x_2 - x_1}), if (C(- 3,0)) and (D(3,2)), then (m_{CD}=\frac{2 - 0}{3+3}=\frac{1}{3}). For line (FG), if (F(-3, - 1)) and (G(3,-3)), then (m_{FG}=\frac{-3 + 1}{3+3}=-\frac{1}{3}). For line (HJ), if (H(-1,-4)) and (J(1,2)), then (m_{HJ}=\frac{2 + 4}{1+1}=3).

Answer:

line HJ