9514 1404 393
Answer:
y = -2/5x +36/5 . . . . . slope-intercept form
2x +5y = 36 . . . . . . . . standard form
Step-by-step explanation:
You can use the 2-point form of the equation of a line to find it.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (4 -6)/(8 -3)(x -3) +6
y = -2/5(x -3) +6
y = -2/5x +36/5 . . . . slope-intercept form
2x +5y = 36 . . . . . . . standard form
Let
x-------> the length side of the poster
y-------> the width side of the poster
we know that
Area of the poster is equal to
-------> equation
Area of the printed area is equal to
----> equation
substitute equation in equation
using a graph tool
Find the vertex of the graph
The vertex of the graph is the point that represent the value of x for the largest printed area
see the attached figure
the vertex is the point
the largest printed area is
find the value of y
therefore
the answer is
The dimensions of the poster are
