The equation of the line would be
y = mx+b
where m is the slope, b is the y intercept.
<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept
and the base is y intercept divided by slope. Therefore,</span>
A = b^2/2m
At point (2,5)
5 = 2m+b
Substitute that in the area
A = b^2/5-b
to find the least area, differentiate the area with respect to the height and equate it to 0
dA/db = 0
<span>find b and
use that to find m. Then, you can have the equation of the line.</span>
Answer:
6*n < - (39 + 3/4)
Step-by-step explanation:
Let's do it in steps:
"Six times a number" can be written as:
6*n
Where n is the "number"
"... is less than negative thirty-nine and three-quarters "
then we have:
6*n < - (39 + 3/4)
This is the inequality we wanted, now we can also solve this for n as:
n < -(39 + 3/4)/6
Answer:
B and C, Benjamin and Cynthia.
Step-by-step explanation:
Next part (Cynthia's score) is 0.2
Answer:
(12+16)/(3+4)
Step-by-step explanation:
Answer:
y - 1 = 3(x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 3 and (a, b) = (2, 1), hence
y - 1 = 3(x - 2) ← in point- slope form
