Which value of m will create a system of parallel lines with no solution? y = mx – 6 8x – 4y = 12 m = Mark this and return

Answer:The value of m is 2.Step-by-step explanation:We are given equation of system of parallel lines as:[tex]y=mx-6[/tex]that means m is the slope of the line and -6 is the y-intercept.and [tex]8x-4y=12[/tex]this equation could also be represented in the slope intercept form as:[tex]4y=8x-12\\\\y=\dfrac{8}{4}x-\dfrac{12}{4}\\\\y=2x-3[/tex]Hence the slope is 2 and the y-inetrcept is -3.we know that slope of parallel lines must be equal.that means the value of m=2.Hence the value of m which will create a system of parallel lines with no solution is 2.