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umka21 [38]
4 years ago
15

If f(x)=-3x+4 and g(x)=2 solve for the value of x for which f(x) = g(x) is true

Mathematics
1 answer:
antiseptic1488 [7]4 years ago
5 1
Set the equations equal to eachother. Make -3x+4 = 2 and solve. You got this!
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What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?
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Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

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