# Right triangle from axes

A line segment has its ends on the coordinate axes and forms with them a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?

Result

k1 =  -0.015
k2 =  -10.705

#### Solution:

Checkout calculation with our calculator of quadratic equations.

$k_{2}=k_{ 2 }=- \dfrac{ b_{ 2 } }{ a_{ 2 } } \doteq - \dfrac{ 27.7626 }{ 2.5934 } \doteq -10.7051 \doteq -10.705$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Looking for help with calculating roots of a quadratic equation?
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
2. Sphere equation
Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
3. Segment
Calculate the length of the segment AB, if the coordinates of the end vertices are A[10, -4] and B[5, 5].
4. RT and circles
Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.
5. Catheti
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
6. Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
7. Symmetry by plane
Determine the coordinates of a image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0
8. Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
9. Circle - AG
Find the coordinates of circle and its diameter if its equation is: ?
10. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
11. Equation of circle
find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
12. Rectangle
Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
13. Discriminant
Determine the discriminant of the equation: ?
14. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
15. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.