# SOLUTION: Consider y=-7x+8 Find the equation of a line that is PERPENDICULAR with points of (6,5) Find the equation of a line that is PARALLEL with points of (6,5) Thanks!

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Consider y=-7x+8 Find the equation of a line that is PERPENDICULAR with points of (6,5) Find the equation of a line that is PARALLEL with points of (6,5) Thanks!      Log On

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Question 378706: Consider y=-7x+8 Find the equation of a line that is PERPENDICULAR with points of (6,5) Find the equation of a line that is PARALLEL with points of (6,5) Thanks!Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com