Answer:
The area of triangle is
Step-by-step explanation:
we have
The slope of the given linear function is
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
<em>Find the slope of the line perpendicular to the given linear function</em>
we have
substitute
<em>Find the equation of the line perpendicular to the given linear function that passes through the origin</em>
The line represent a direct variation, because the line passes through the origin
The equation is
Find the area of triangle bounded by the y-axis, the line f(x) = 4−5/7x, and the line perpendicular to f(x) that passes through the origin
using a graphing tool
see the attached figure
The vertices of the triangle are
A(0,0),B(1.892,2.649),C((0,4)
The area of the right triangle ABC is
the formula to calculate the distance between two points is equal to
<em>Find the distance AB</em>
<em>Find the distance BC</em>
<em>Find the area of the right triangle ABC</em>