Answer:
The rule is y = -7x + 5
→ Other values of x;
→ Other values of y;
Step-by-step explanation:
» Take points (1, -2) and (3, -12) from the table.
☑ General equation of a line is y = mx + c
- m is the slope
- c is y-intercept
✍<u> </u><u>F</u><u>o</u><u>r</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u><u>,</u><u> </u><u>m</u><u> </u>:

✍<u> </u><u>For</u><u> </u><u>y-intercept</u><u>,</u><u> </u><u>c</u><u> </u>:

» Taking point (1, -2):


Answer:
P = (A +3B)/4
Step-by-step explanation:
A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.
Line segment AB begins at point A and ends at point B.
The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.
AP : PB = 3 : 1
(P -A) / (B -P) = 3 / 1
P -A = 3(B -P) . . . . . . . . multiply by (B-P)
P +3P = A +3B . . . . . . . add A+3P
P = (A +3B)/4
You can find point P by filling in the coordinate values in the formula just found.
_____
<em>Comment on the general case</em>
If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...
P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points
Answer:

Step-by-step explanation:
9.008 * 1000 = 9008
9008 ÷1000 = 9 
T = Total
P = Principal
R = Rate
Y = Years
T = P* (1+ r/n)^(y*n)
n=52
T = 10,250 * (1. 0.002)^(364)
<span>T = 10,250 * </span><span>1.877
</span>
<span><span>T = </span>19,235.03
Your answer is $19,253.03
</span>Hope I helped!
Let me know if you need anything else!
<span>~ Zoe (Rank:'Genius')</span><span>
</span>
<span>Pick two pairs: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Eliminate the same variable from each system: 4x - 3y + z = - 10. 2x + y + 3z = 0. ... Solve the system of the two new equations: -5y - 5z = - 10. 5y - 7z = 34. ... Substitute into one of the original equations: - x + 2y - 5z = 17. ... <span>Check: Does 2(1) + 4 + 3(- 2) = 0 ? Yes.</span></span>