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You use the point-slope formula. m= (x2-x1)/(y2-y1). So say the points are (5,2) and (9,4) you subtract 9-2, and 4-5 and divide that, getting -7 (which by the way is a huge slope).
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How do you find a coordinate of a point given slope and one point?
According to the question, you HAVE the point!
What is the slope of a parabola?
a parabola doesn't have one slope, the slope is constantly changing as you move accross the graph. however, it is possible to find a slope to a line tangent to a point on a parabola. to do this, take the derivative of the equation for the given parabola. then, take the X,Y coordinate and plug in the x value for the point. So, if the graph of of the equation was given by y=x^2, the derivative would be dy/dx=2x. you would then take a point, e.x. (2,4) and plug in the x value, 2, into dy/dx=2x, yielding a slope of 4 for the line tangent to that point.
Can one line have 2 slopes?
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.
Find an equation of the line containing the given point and having the given slope 3-6m1?
Assuming the point is (3, -6) and the slope 1, the equation is x - y - 9 = 0
How do you find a line that goes through a given point?
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.
How do you find an equation with a given slope?
Use point-slope formula
How do you find a coordinate of a point given slope and one point?
According to the question, you HAVE the point!
How do you find the slope of the tangent line to each curve at the given point?
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).
How do you find the height of a slope given two points?
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.
What is the slope of a parabola?
a parabola doesn't have one slope, the slope is constantly changing as you move accross the graph. however, it is possible to find a slope to a line tangent to a point on a parabola. to do this, take the derivative of the equation for the given parabola. then, take the X,Y coordinate and plug in the x value for the point. So, if the graph of of the equation was given by y=x^2, the derivative would be dy/dx=2x. you would then take a point, e.x. (2,4) and plug in the x value, 2, into dy/dx=2x, yielding a slope of 4 for the line tangent to that point.
Find equation perpendicular to given line contain given 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.
Can one line have 2 slopes?
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.
Find an equation of the line containing the given point and having the given slope 3-6m1?
Assuming the point is (3, -6) and the slope 1, the equation is x - y - 9 = 0
Describe a situation in which point-slope form would be more useful than slope-intercept form?
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.
How do you find the smallest slope of a curve?
The smallest slope of a curve means the point at which the derivative (the slope) is minimal. So find the derivative first, then find the minimum value of this function. That means finding another derivative and setting it equal to zero to solve for x. Example with the curve y = x^3 - x^2 : The slope at any given point is given by the derivative, which is 3x^2 - 2x. To find the minimum value of this function, compute its derivative (which is 6x - 2) and set it equal to zero. Solve 6x - 2 = 0 for x and you'll find the answer. It's x = 1/3. This is the point at which the smallest slope occurs. The smallest slope ITSELF is the value of the first derivative at x = 1/3, so plug x = 1/3 into 3x^2 - 2x and you get -1/3. This method could also have found the LARGEST slope of the initial curve. So you have to make sure by computing the slope at another point (any other point). Take x = 0. There the slope is 0, which is bigger than -1/3. So the -1/3 value is indeed the SMALLEST slope.
How do you find a line that goes through a given point?
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.
How do you differentiate and find the tangent?
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.
