1) Equation of the line
Slope, m = [-2 -1]/[0 - 2] = -3 / -2 = 3/2y-intercept, b = -2
y = 3x/2 - 2
2) InequalityThe points over the line have y-coordinate greaetr than the value of the line, then
y ≥ 3x/2 - 2
2y ≥ 3x - 4
3x - 2y ≤ 4
3) Answer: 3x - 2y less than or equal to 4.
Answer:
2316
Step-by-step explanation:
use a calculator
Answer:
On the other hand, if rates are very low, gold may potentially benefit as it keeps the opportunity cost of holding gold to a minimum. Of course, gold could also move higher even with high interest rates, and it could move lower even during periods of ultra-low rates. Monetary policy can also affect the gold price.
Step-by-step explanation:
keeping in mind that perpendicular lines have <u>negative reciprocal</u> slopes, let's find the slope of 3x + 4y = 9, by simply putting it in slope-intercept form.
![\bf 3x+4y=9\implies 4y=-3x+9\implies y=-\cfrac{3x+9}{4}\implies y=\stackrel{slope}{-\cfrac{3}{4}}x+\cfrac{9}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{4}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{4}{3}}\implies \cfrac{4}{3}}](https://tex.z-dn.net/?f=%20%5Cbf%203x%2B4y%3D9%5Cimplies%204y%3D-3x%2B9%5Cimplies%20y%3D-%5Ccfrac%7B3x%2B9%7D%7B4%7D%5Cimplies%20y%3D%5Cstackrel%7Bslope%7D%7B-%5Ccfrac%7B3%7D%7B4%7D%7Dx%2B%5Ccfrac%7B9%7D%7B4%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D%7D%20%7B%5Cstackrel%7Bslope%7D%7B-%5Ccfrac%7B3%7D%7B4%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7Breciprocal%7D%7B-%5Ccfrac%7B4%7D%7B3%7D%7D%5Cqquad%20%5Cstackrel%7Bnegative~reciprocal%7D%7B%2B%5Ccfrac%7B4%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B3%7D%7D%20)
so we're really looking for the equation of a line whose slope is 4/3 and runs through 8, -4.
![\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies \cfrac{4}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{4}{3}(x-8) \implies y+4=\cfrac{4}{3}x-\cfrac{32}{3} \\\\\\ y=\cfrac{4}{3}x-\cfrac{32}{3}-4\implies y=\cfrac{4}{3}x-\cfrac{44}{3}](https://tex.z-dn.net/?f=%20%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B8%7D~%2C~%5Cstackrel%7By_1%7D%7B-4%7D%29~%5Chspace%7B10em%7D%20slope%20%3D%20%20m%5Cimplies%20%5Ccfrac%7B4%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-%28-4%29%3D%5Ccfrac%7B4%7D%7B3%7D%28x-8%29%20%5Cimplies%20y%2B4%3D%5Ccfrac%7B4%7D%7B3%7Dx-%5Ccfrac%7B32%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20y%3D%5Ccfrac%7B4%7D%7B3%7Dx-%5Ccfrac%7B32%7D%7B3%7D-4%5Cimplies%20y%3D%5Ccfrac%7B4%7D%7B3%7Dx-%5Ccfrac%7B44%7D%7B3%7D%20)
Answer:
1445
Step-by-step explanation:
2601*(9/9-4/9)