# SOLUTION: Find an equation of the line that passes through the points 4,4 and 8,-2

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find an equation of the line that passes through the points 4,4 and 8,-2      Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 357199: Find an equation of the line that passes through the points 4,4 and 8,-2Found 3 solutions by Alan3354, mananth, neatmath:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!Given 2 points example. Find the equation of the line thru the points (2,1) and (3,5) --------------------- This is a 2 step process. First find the slope of the line thru the points. slope, m = diffy/diffx m = (5-1)/(3-2) m = 4 --------- Now use y = mx + b with either point to find b, the y-intercept. y = mx + b 5 = 4*3 + b b = -7 ------- y = mx + b y = 4x - 7 is the answer. ------------------------ Another approach using determinants: |x y 1| |2 1 1| = 0 |3 5 1| -------- x(1-5) - y(2-3) + 1(10-3) = 0 -4x + y + 7 = 0 y = 4x - 7 --------- For further assistance, or to check your work, email me via the thank you note or at Moral Loophole@aol.com Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!4,4 and 8,-2 slope = y2-y1/x2-x1 slope = -6/4 = -3/2 ... y=mx+b plug values of xy & m 4=-3/2*4+b 4=-6+b b=10 ... the equation y = -3x/2 +10 ... m.ananth@hotmail.ca Answer by neatmath(300)   (Show Source): You can put this solution on YOUR website!The easiest way to find this equation is to use point-slope form! First we need to find the slope: Then we can use the point-slope form: We will use the first point (4,4) and m=-3/2 This is now in slope-intercept form, where we can easily see the slope is -3/2, and the y-intercept is (0,10). I hope this helps!