Question 1012913
.
2x-3y +7=0
Find the x and y intercepts:
.
Let y=0:
2x-3(0)+7=0
2x+7=0
2x=-7
x=-7/2
.
Let x=0:
2(0)-3y+7=0
-3y=-7
y=7/3
.
The region is a right triangle with Base=7/2 and height=7/3
.
{{{ graph( 800, 800, -5, 5, -5, 5, (2/3)x+(7/3)) }}}
.
Area=(1/2)(b)(h)
Area=(1/2)(7/2)(7/3)
Area=49/12
.
ANSWER: The area of the region is 49/12 square units.
.