Question

draw a graph of equation x=4 , y=3 and 3x+4y=12 from the graph find the area of triangle formed​

Answer 1

Answer:

6

Step-by-step explanation:

x=4 is a vertical line.

y=3 is a horizontal line.

3x + 4y = 12 can be written as y= (-3x)/4 + 12/4 = -3x/4 + 3

from there you can get this graph, attached. As you can see, you can find the base and the height, side a and b, from simply looking at the units. the base is 4 units long (4 units right in x), and from the y=3 line to the (4,6) point creates the height, which is 3 units high (3 units up in y). All you need are these two sides, so you don't need to worry about side c, as the area of a right triangle only needs sides a and b, for the equation (a times b)/2. So the base times height, and that product divided by 2.

(4 times 3)/2 = 6