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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).
What is an equation of the line that passes through the point 50 and is perpendicular to the line 5x 6y24 express your answer in slope-intercept form?
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
What is the equation of the line that passes through 2 4 and 1 -3 in slope-intercept form?
(2,4) (1, -3) First, find the slope, which is change in y over change in x. from -3 to 4 is 7 from 1 to 2 is 1 The slope is 7. Using the point slope formula you can find it in slope-intercept form. point-slope is y-y1=m(x-x1) *Number 1's are subscripts and m=slope* [You use a point for y1 and x1] y- (-3) = 7 (x-1) y+3 = 7x - 7 y= 7x -10
What is the slope of the line that goes through the points 2 5 and 1 -3?
To solve this, use the slope formula. the slope formula is m = (y2 - y1) / (x2 - x1) Therefore, m = ( -3 - 5)/ (1-2) If you solve this, you will get 8. So the slope of the line is 8.
How do you find the median of a line?
In order to find the median of a line, you first have to find the the coordinates of the point. In order to do this, you must use the midpoint formula : x = x2+x1/2 y=y2+y1/2. Then, you find the equation of the line of the median, so if you have triangle ABC and you want to find the median of CM (M is the point that we found the coordinates for), you find the slope of the line and put all of that in the equation for point-slope and change it to standard form.
