Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Answer:perpendicular linesStep-by-step explanation:First, put both equations into slope-intercept form.Lets start with 10x - 2y = 16Remember that the slope intercept formula is y = mx + bSo, we must get y alone on one side.First, subtract 10x from both sides10x - 2y = 16-2y = -10x + 16Now, divide both sides by negative 2y = 5x - 8Now for our second equation. First we must subtract x from both sidesx + 5y = -205y = -x - 20Now, divide both sides by 5y = -1/5x - 4Now, both of our equations are in slope-intercept formHere's how to determine if two equations are parallel or perpendicularRemember that the m in y = mx + b is our slopeParallel = same slopePerpendicular = negative reciprocal slope(ex: take the number 6                             take the number -3negative reciprocal = -1/6                        negative reciprocal = 1/3)If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)So, these two lines are perpendicular. :)