Determine if y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincide or none of these
1 answer:
If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to 
.
Remember that an equation
represents a line with slope 
and y-intercept 
. Since both equations given have a slope of -2, but have different y-intercepts, they are parallel.
Remember that an equation
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Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
