Determine whether the graphs of y = 3x + 5 and -y = -3x - 13 are parallel, perpendicular, coincident, or none of these.a. Parallel c. Perpendicular b. Coincident d. None of ThesePlease select the best answer from the choices provided A B C D

Answer:A. ParallelStep-by-step explanation:Given: Equations [tex]\text{y}=3\text{x}+5[/tex] and [tex]\text{-y}=-3\text{x}-13[/tex]To Find: whether the graphs of y = 3x + 5 and -y = -3x - 13 are parallel, perpendicular, coincident, or none of these.Solution: As Equations are linearEquation of Line 1 = [tex]\text{y}=3\text{x}+5[/tex]Equation of Line 2 =  [tex]\text{-y}=-3\text{x}-13[/tex] We know that,standard equation of line is,   [tex]\text{y}=\text{m}\text{x}+c[/tex]writing equation of lines in standard formLine 1, [tex]\text{y}=3\text{x}+5[/tex]Line 2, [tex]\text{y}=3\text{x}+13[/tex]Comparing with standard equations we find out thatSlope of Line 1= [tex]3[/tex]Slope of Line 2= [tex]3[/tex]therefore graphs of both equations is parallel, now we have to check if they are coincidentalintercept [tex]\text{c}[/tex] of line 1 =  [tex]5[/tex]intercept [tex]\text{c}[/tex] of line 2 = [tex]13[/tex] intercept [tex]\text{c}[/tex] of line 1 ≠ intercept [tex]\text{c}[/tex] of line 2Graphs are not coincidentalTherefore Option A is correct Graphs of both equations are parallel.