So the problem is asking you to write <span>y + 1 = 6(x+4) in the form </span><span>Ax+By=C. A lot of this will involve algebra and moving the numbers around until you have it in the right form.
1) Start by distributing 6 to x and 4 on the right using the distributive property. </span>y + 1 = 6(x+4) y + 1 = 6x + 6(4) y + 1 = 6x + 24
2) Move everything with the variables x or y onto the left side using addition or subtraction. Move everything else onto the other side. This means subtracting the 6x from both sides and subtracting 1 from both sides. Simplify: y + 1 = 6x + 24 y - 6x + 1 = 24 y - 6x = 24 - 1 y - 6x = 23
3) Put your equation in the form <span>Ax+By=C. </span>y - 6x = 23 -6x + y = 23
I used long division with polynomials to help me find the other factor to this problem. Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.
