<h3>
Answer:</h3>
y +3 = (1/4)(x +3)
<h3>
Step-by-step explanation:</h3>
The two-point form of the equation for a line is good for this.
... y -y1 = (y2-y1)/(x2-x1)(x -x1)
Substituting your values, we have ...
... y -(-3) = (-1-(-3))/(5-(-3))(x -(-3))
... y +3 = 2/8(x +3)
Since you ask for "an equation," we can leave it in this form.
... y +3 = (1/4)(x +3)
_____
Or we can rearrange it to <em>slope-intercept form</em>:
... y = (1/4)x -(2 1/4)
or put it in <em>standard form</em>:
... x -4y = 9
-135 is his current balence because you would times 160 3 times and subtract that from 345
Answer:
{4+2√7, 6, 8-2√7}
Step-by-step explanation:
The middle term of three of an arithmetic sequence is the average of the three numbers—their sum divided by 3. So, this arithmetic sequence has a middle term of 6.
If the common difference is x, then the numbers are ...
{6 -x, 6, 6+x}
When the first is increased by 4, to 10-x, then the ratios of adjacent terms are the same:
6/(10-x) = (6+x)/6
36 = 60 +4x -x^2 . . . . . . multiplying by 6(10-x)
x^2 -4x = 24 . . . . . in a form suitable for completing the square
(x -2)^2 = 28 . . . . . . after adding 4
x = 2-2√7 . . . . . the solution that makes the sequence be positive numbers
The arithmetic sequence is then ...
{4 +2√7, 6, 8 -2√7} ≈ {9.2915, 6, 2.7085}
Answer:
m = y2 - y1 / x2 - x1 -8 - (-5)/1-3
-8 +5/1-3
-3/-2
slope is 1 1/2
Step-by-step explanation:
Hope this helps :)