Answer: y = -3/4x
Step-by-step explanation:
the slope is -3/4
Let's assume that you are to graph the inequality.
1. Graph -3x + 4y = 12. Note that the x-intercept is (-4,0) and the y-intercept is (0,3). Use a dashed line, not a solid line, due to the ">" sign.
2. Choose a test point (e. g., (0,1) ) and subst. these coordinates into -3x + 4y = 12. Is the equation then true or false? If true, shade the area (on one side of -3x + 4y = 12 or the other) in which the test point (0,1) lies. If false, shade the other side of -3x + 4y = 12.
keeping in mind that parallel lines have the same exact slope, hmmm what's the slope of 4x - 2y = 3 anyway? well, let's put it in slope-intercept form firstly.
a)
so we're looking for a line whose slope is 2 and passes through 2,1.
b)
![\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{2\implies \cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D%7D%0A%7B%5Cstackrel%7Bslope%7D%7B2%5Cimplies%20%5Ccfrac%7B2%7D%7B1%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7Breciprocal%7D%7B%5Ccfrac%7B1%7D%7B2%7D%7D%5Cqquad%20%5Cstackrel%7Bnegative~reciprocal%7D%7B-%5Ccfrac%7B1%7D%7B2%7D%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%20)
<span>2 dimensional and infinitely large hope it helped</span>
The answer is C good luck
