MATH SOLVE

3 months ago

Q:
# Anyone! Please help me! I don't understand at all what to do! Help would be really appreciated :)Determine if the lines are parallel or perpendicular: The line through (5, 2) and (-3, 1) AND The line through (-1, -2) and (15, 0) Show your work and/or explain your reasoning.

Accepted Solution

A:

Answer: They are parallelStep-by-step explanation:If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.To check this , we must calculate the slope of the two lines given.Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]from the first point[tex]y_{1}[/tex] = 2[tex]y_{2}[/tex] = 1[tex]x_{1}[/tex] = 5[tex]x_{2}[/tex] = -1substituting the values slope 1 = 1 - 2 / -3 - 5slope1 = -1 / -8slope 1 = 1/8Using the same format to calculate the slope of the second line[tex]y_{1}[/tex] = -2[tex]y_{2}[/tex] = 0[tex]x_{1}[/tex] = -1[tex]x_{2}[/tex] = 15slope 2 = 0 - (-2) / 15 - (-1)slope 2 = 2/16slope 2 = 1/8Since slope 1 = slope 2 , this implies that the lines are parallel