What is the slope of a line that is parallel to the Line shown? Answer options: 2/3, 3/2, -3/2, -2/3

Accepted Solution

Answer:2/3Step-by-step explanation:The slope of a line can be computed as:[tex]m=\frac{\Delta y}{\Delta x}[/tex]where[tex]\Delta y = y_2-y_1[/tex] is the increment along the y-direction[tex]\Delta x = x_2 - x_1[/tex] is the increment along the x-directionWe can choose the following two points to calculate the slope of the line shown:(0,1) and (3,3)Therefore, the slope of the line is[tex]m=\frac{3-1}{3-0}=\frac{2}{3}[/tex]Two lines are said to be parallel if they have same slope: therefore, a line parallel to the one shown should also have slope of 2/3.