put the following equation on a line into slope intercept form simplified all fraction 12 x + 3 Y equals -18 ​

Slope intercept form: y=mx+b
12x+3y=-18 subtract 12x on both side
3y=-12x-18 divide both sides by 3
y=-4x-6 is the answer

Idon't see any graph, however the graph of the function : f(x) = x²-2x+3 is a parabola: 1) open upward (since a> 0)2) it intersects y-axis in 3 (y=3)3) its axis of symmetry is x = +1 ( -b/2a)4) it's minimum is y = -2, so its vertex is (1,-2)5) it doesn't intersect the x-axis since discriminant < 0