Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
Answer:
m=10
Step-by-step explanation:
using y=mx+b
You need a compound interest formula solved for principal:
Principal = Total ÷ (1 + Rate)<span> ^ years
</span><span>
Principal = 40,000,/ (1.056) ^ 4
</span><span><span><span>Principal = 40,000 / 1.2435282985
</span>
</span>
</span>
Principal =
<span>
<span>
<span>
32,166.54
</span>
</span>
</span>
So, 32,166.54 deposited for 4 years at 5.6% interest (compounded annually) produces $40,000.
Source:
http://www.1728.org/compint2.htm
y = mx + b
m = -3/4
y = (-3/4)x + b
Use the given point (4,-6) to find b:
-6 = (-3/4)(4) + b
-6 = -3 + b
b = -3
Final equation:
y = (-3/4)x - 3
B. Complementary means totaling 90 degrees, and supplementary means totaling 180 degrees.
