what is the equation of the line that is perpendicular to and has the same y intercept as the given line​

Accepted Solution

Answer:y=5x+1Step-by-step explanation:step 1Find the slope of the given linewe have (0,1) and (5,0)m=(0-1)/(5-0)m=-1/5step 2Find the slope of the perpendicular line to the given linewe know thatIf two lines are perpendicular, then the product of their slopes is equal to -1m1*m2=-1m1=-1/5substitute(-1/5)*m2=-1m2=5step 3Find the equation of the line with slope m=5 and y-intercept (0,1) The equation of the line into slope intercept form is equal toy=mx+bwe havem=5b=1substitutey=5x+1