The corners of a triangle garden are marked with trees at coordinates (0,3),(3,0), and (4,3). Let a denote the area of the garden, in square units. Which of the following is true?

Given:

Three corner points of a triangular garden are (0,3),(3,0), and (4,3).

To find:

The area of the garden.

Solution:

We know that, area of a triangle is

Let a denote the area of the garden, in square units.

Three vertices of the triangular garden are (0,3),(3,0), and (4,3). So, area of the triangular garden is

Therefore, the area of the garden is a=6 square units.

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2