SOLUTION: I am trying to help my daughter solve the following equation and can't seem to get the right answer, plus it has been 24 years since I have worked algebra. Could you please help m

Algebra.Com
Question 88843: I am trying to help my daughter solve the following equation and can't seem to get the right answer, plus it has been 24 years since I have worked algebra. Could you please help me find the solution:
Graph 6x-42=16y

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!


Divide both sides by 16

Split up the fraction

Reduce

Rearrange the sides. So the equation is now in y form

Now lets graph

Solved by pluggable solver: Graphing Linear Equations
In order to graph we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-9



Multiply

Add

Reduce

So here's one point (-9,-6)




Now lets find another point

Plug in x=-1



Multiply

Add

Reduce

So here's another point (-1,-3). Add this to our graph





Now draw a line through these points

So this is the graph of through the points (-9,-6) and (-1,-3)


So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go up 3 units and to the right 8 units to get to the next point) the y-intercept is (0,) ,or (0,), and the x-intercept is (,0)


We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,).


So we have one point (0,)





Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go up 3 units



and to the right 8 units to get to our next point


Now draw a line through those points to graph


So this is the graph of through the points (0,-2.625) and (8,0.375)

RELATED QUESTIONS

My daughter has this problem for school. I am trying to help but it has been awhile for... (answered by solver91311)
My daughter is just learning fractions in 4th grade and I am trying to help her.... (answered by stanbon)
I am trying to help my daughter learn how to solve a problem and the steps used to get... (answered by richard1234)
I am trying to help my daughter with her homework and it has been quite a while for me.... (answered by umnikmo,stanbon)
Hello there, I have been trying to solve this question: Write the equation of the... (answered by mananth,josgarithmetic,ikleyn)
I have been trying this equation and just can't seem to get it. I have been asked to... (answered by solver91311)
I am trying to help my daughter with this problem and can not seem to come up with the... (answered by vheroli)
Please help me solve the following problem in detail. I am trying to help my daughter... (answered by longjonsilver)
I'm trying to solve a future value equation and i need to solve for t. Please i just cant (answered by Alan3354)