Are the two lines parallel, perpendicular, or neither? Explain your answer. Show work needed to answer the question. 3 + 7 = 15 7 − 3 = 6

Answer:The lines are perpendicularStep-by-step explanation:The correct question is Are the two lines parallel, perpendicular, or neither? Explain your answer3x + 7y = 157x − 3y = 6we know thatIf two lines are parallel, then their slopes are equalIf two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)Remember thatThe equation of the line in slope intercept form is equal to[tex]y=mx+b[/tex]where m is the slopeb is the y-interceptwe have[tex]3x + 7y = 15[/tex] ----> equation Aisolate the variable y and convert the equation in slope intercept form[tex]y=\frac{15-3x}{7}[/tex][tex]y=\frac{15}{7}-\frac{3}{7}x[/tex]The slope of the line A is [tex]m_A=-\frac{3}{7}[/tex][tex]7x-3y = 6[/tex] ---> equation Bisolate the variable y and convert the equation in slope intercept form[tex]y=\frac{7x-6}{3}[/tex][tex]y=\frac{7}{3}x-2[/tex]The slope of the line B is [tex]m_B=\frac{7}{3}[/tex]Compare the slopes[tex]m_A\neq m_B[/tex] ---> the lines are not parallel[tex]m_A* m_B=(-\frac{3}{7})*(\frac{7}{3})=-1[/tex]so The slopes are opposite reciprocalthereforeThe lines are perpendicular