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A line passes through point (-3,3) and has a slope of 4. Write an equation in Ax+By=C form for this line. Use integers for A,B, and C.

A line passes through point (−3,3) (-3,3) and has a slope of 44. Write an equation in Ax+By=C A x+B y=C form for this line. Use integers for A,B A, B , and C C .

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Q. A line passes through point (−3,3) (-3,3) and has a slope of 44. Write an equation in Ax+By=C A x+B y=C form for this line. Use integers for A,B A, B , and C C .
  1. Identify Equation Form: Identify the slope-intercept form of the equation using the given slope and point.\newlineUsing y=mx+by = mx + b, where m=4m = 4 and the point is (−3,3)(-3, 3):\newline3=4∗(−3)+b3 = 4*(-3) + b\newline3=−12+b3 = -12 + b\newlineb=15b = 15
  2. Convert to Ax+By=CAx+By=C: Convert the slope-intercept form to Ax+By=CAx+By=C form.\newlineStarting from y=4x+15y = 4x + 15:\newlineSubtract 4x4x from both sides to get −4x+y=15-4x + y = 15
  3. Adjust to Standard Form: Adjust the equation to match the standard form Ax+By=CAx+By=C, ensuring AA is positive.\newlineMultiply the entire equation by −1-1 to get 4x−y=−154x - y = -15

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