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
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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.
Use point-slope formula
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
To find the slope (steepness, not height) of a line when given two points, do the following: Slope = (y2-y1)/(x2-x1), where (x1, y1) is one point, and (x2,y2) is the second point.
If you know the slope of the line that your equation is perpendicular too, you find the negative reciprocal of it and use it as the slope for the line. (negative reciprocal = flip the slope over and change its sign. Ex: a slope of 2 has a negative reciprocal of -1/2. ) Then you use the given point, and put your equation in point-slope form. The general equation for point slope form is Y-y1=m(x-x1) The y1 is the y coordinate of the given point. X1 is the x coordinate of the given point. M is the slope that you found earlier. You now have your equation. If you are asked to put it in slope intercept form, simply distribute the numbers and solve the equation for y.
Assuming the point is (3, -6) and the slope 1, the equation is x - y - 9 = 0
You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.
When you differentiate a function, you find the slope of the function. The slope is also known as the tangent. The slope of a line, given one point, and a second point relative to the first point, but with x different, is given as delta y over delta x. Differentiation is simply taking the limit of the slope, i.e. where delta x approaches zero.
You need either a point and the slope of the line or two points. Then you use the point slope form of the line or the slope intercept form to write the lines.A given point has an infinite number of lines going through it, that is why you need more information.
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.