SOLUTION: Write an equation of a line that passes through the point (9,-1) and is parallel to x+y=6. Write three different equations in standard form, point slope form, and slope-intercept f

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Write an equation of a line that passes through the point (9,-1) and is parallel to x+y=6. Write three different equations in standard form, point slope form, and slope-intercept f      Log On

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 Question 495581: Write an equation of a line that passes through the point (9,-1) and is parallel to x+y=6. Write three different equations in standard form, point slope form, and slope-intercept form. Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!The line x+y = 6: x + y = 6 y = -x + 6 So the slope, m, is -1. The y-intercept, b, is 6 . The desired line is parallel to the above line, passing through the point (9,-1). So it will have a slope of -1 to be parallel. When x = 9, y = -1 y = mx + b -1 = -1(9) + b -1 = -9 + b b = 8 therefore, the equation that goes through (9,-1) and is parallel is: y = -x + 8 . In the following graph, the original equation is in red; the second equation is in green.