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.
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.
Use point-slope formula
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.
Call one point "Point 1" and the other "Point 2". (X1, Y1) are therefore the coordinates of "Point 1", and (X2, Y2) are the coordinates of "Point 2". Plug those values into this formula to get the slope of the line between those two points. m = slope (Y2-Y1)/(X2-X1)=m
The point slope form of a line is one that contains the point and the slope. It is (y-y1)=m(x-x1) Where (x1,y1) are the point on the line that you are given. The other (x,y) are any x and y and m is the slope. So if we have a point (1,2) just for example, and a slope m=3, then the point slope equation or form is (y-2)=3(x-1) Note: The point slope form is easy to remember. It comes directly from the definition of slope. The slope is the rise over the run, of (change in y values) divided (change in x values) Now call the slope m, and let a point we know be (x1,y1) and any other point on the line (x,y), then the slope is m=(y-y1)/(x-x1). Now multiply both sides by (x-x1) and you have the point slope form.
Pick any two points in the table. The slope of the line is(change in the y-value from one point to the other)/(change in the x-value from the same point to the other)
The slope of a line can be determined by examining the graph; only one line through a point has a particular slope.
The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.
You're familiar with the xy-plane. A line with negative slope is one that goes down toward the right. A curve has a negative slope at a point if the tangent line to the curve at that point has a negative slope.