I think you are trying to use the equation y = mx +b, but that form is useful only when m is a number. If the slope is infinite, or "undefined", the line is a vertical line on the graph and its equation is x = c (constant) If the line passes through some given point (x0,y0), then the equation of the line is x = x0 .
There no Y-intercept unless x0 = 0 so the equation of the line is x = 0 , In this special case the graph is exactly the Y-axis so, in a way, every point on it is a Y-intercept or a value for b.
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If the line is a straight line, meaning 180degrees, it can only have one slope. If it is a function (f(x)= or y=) then the line may have more than one, one, or an undefined slope. Find the first differential of the function and plug in your given x value to find the slope at any given point.
According to the question, you HAVE the point!
When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
Assuming the point is (3, -6) and the slope 1, the equation is x - y - 9 = 0