For what value of m will the triangle formed by the lines y=-4, y=mx+7,and -y=mx+7 be equilateral?

Question

can't figure it out? help

Answer 1

All angle of an equilateral triangle are 60 degrees

y = -4 has a slope of 0
The other 2 lines must have slopes of sqrt(3) and -sqrt(3)

y = -4
y = mx + 7
y = -mx - 7

m = ±sqrt(3)

Answer 2

Hello

I am confused. One line crosses the y-axis at 7 and the other one crosses the y-axis at -7, but the line y = -4 is a horizontal line between them. How can this form a triangle. Now if the line were x = -4 then I could understand.

Answer 3

y=-4
mx+7=4
mx+7=-4

mx=-3 ...................(1)
mx=-11....................(2)
(1)/(2)
1=3/11 ????
so there is no cross between those line