To find the slope, you must have at least two points, not one. You cannot find the slope at one point, because coordinate points do not have slopes - lines have slopes.
According to the question, you HAVE the point!
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.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
To find the slope, you must have at least two points, not one. You cannot find the slope at one point, because coordinate points do not have slopes - lines have slopes.
According to the question, you HAVE the point!
On one of my projects for my algebra class...my professor is asking us to find the slope of a line which is fairly easy.....but i only have one point and it's impossible to find a slope with only one point....what am i doing wrong? On one of my projects for my algebra class...my professor is asking us to find the slope of a line which is fairly easy.....but i only have one point and it's impossible to find a slope with only one point....what am i doing wrong?
You find the slope of the tangent to the curve at the point of interest.
By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).
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.
You find the tangent to the curve at the point of interest and then find the slope of the tangent.
Use point-slope formula
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 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.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.