A line in the coordinate plane has a slope of 4, and a distance of 1 unit from the origin. Find the area of the triangle determined by the line and the coordinate axesA line in the coordinate plane has a slope of m=4, and a distance of 1 unit from the origin. => that is a point (1,0)
so, the equation of this line will be:
y-y1=m(x-x1)...plug in given data
y-0=4 (x-1)
y=4x-4
now we know y intercept is at (0,-4)Find the area of the triangle determined by the line and the coordinate axes
the triangle determined by the line and the coordinate axes is right triangle, and its legs are base and altitude
base is 1 unit long, altitude is 4units long

Question

contestada

Respuesta :

NikitaPatel213 NikitaPatel213 · Answer 1 · 2022-11-28T06:55:19+01:00

The area of the triangle according to the information given in the question is 17/8.

A triangle is a three-sided polygon that is also known as the trigon.

Angles in a triangle are formed by connecting the three sides end to end at a point.

Consider the following right-angled triangle, with vertices (0,-4), (0.0), and (1,0).

Its legs are 4 and 1 meters long, and its hypotenuse is 42+12=17 meters long.

The height "h" (altitude) of this triangle drawn to the hypotenuse is easily determined.

Based on the area, we get the equation (41)/2=(1/2)17h h=4/17 h=0.970143.

As we can see, it is not a single unit.

It means that the triangle's legs should be 17/4 as long as the original triangle's legs (1 unit and 4 units).

As a result, the area of the seeking triangle is (1/2)(17/4)(417/4) = (1/2)(17/4) =17/8

As a result, the area of the triangle in the question is 17/8.

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ4