Q:

Line 1 passes through (4, 5) and it’s perpendicular to the line shown on the coordinate gridA. x+ 6y= 114B. -6x- y= 19C. x- 6y= -114D. 6x- y= 19

Accepted Solution

A:
Answer:6x -y = 19So, Option D is correct.Step-by-step explanation:Line 1 has points (4,5)The other line has points (0,3) and (6,2)The slope of this line is: m = y₂ - y₁/x₂ - x₁m = 2-3/6-0m = -1/6Since both lines are perpendicular, so their slopes will be: m = -1/mSince this line is perpendicular to the given other line so, slope of line 1 will be: 6Now find y-intercept i.e by = mx+b5 = 6(4)+b5 = 24 + b=> b = 5-24=> b = -19So, The equation will be:m = 6, b = -19y= mx + by = 6x -19y - 6x = -19Multiply with -1-y +6x = 19or 6x -y = 19So, Option D is correct.