math 10 – week 13

this week in math we learned how to make 2 points ((7,5) and (6,1)) on a graph into a general equation. First, you need to find the slope of the 2 points, to do this you need to subtract the 2 x’s and 2 y’s from each other but make sure you subtract the second point by the first point. ( so 1-5 and 6-7 to get -4/-1, y goes on top) now you put the slope in front of the x and subtract the x by one of the x points ( -4/-1(x – 7)) and on the other side of the equals sign subtract y by the same point on the y-axis. ( -4/-1(x-7) = y – 5) and now the equation is in point-slope form. to turn it into general form you need to distribute the slope. ( -4x + 28 = y – 5) Move everything on one side of the equation to the other and switch the sing of it, now add the like terms and the equation is in general form.(-4x – y + 23 = 0)

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