For this we use y - y1 = m ( x - x1 ) to help us find the slope first so we will plug in the given coordinates 5 - -3 = m ( 2 - 5) 8 = m ( -3) divide by the -3 to isolate the m -8/3 = m
so now we know that the slope is 11
we will go back to that equation to find the y- intercept y - y1 = m ( x - x1) now we will plug in the slope and the first coordinate we are given so y - -3 = -8/3 ( x -5) do the distributive property y + 3 = -8/3x + 40/3 subtract 3 from both sides to isolate the y y = -8/3x + 31/3
now to write in standard form add 8/3x to both sides to bring it to the left of the equation 8/3x + y = 31/3
