two lines are represented by the equation (-1/2)= 6x+10 and y=mx. for which value of m will the line be parallel?
The equation -(1/2) = 6x + 10 represents a vertical line on a graph at a fixed value of x (at x = -7/4), so for the line y=mx to be parallel to this you must have m = ∞.
However, if you meant the first equation to be -(1/2)y = 6x + 10, then this can be rearranged as y = -12x -20 so for y = mx to be parallel to this m = -12 (i.e. the gradients must be the same).
The equation -(1/2) = 6x + 10 represents a vertical line on a graph at a fixed value of x (at x = -7/4), so for the line y=mx to be parallel to this you must have m = ∞.
However, if you meant the first equation to be -(1/2)y = 6x + 10, then this can be rearranged as y = -12x -20 so for y = mx to be parallel to this m = -12 (i.e. the gradients must be the same).