SOLUTION: Find the x- and y-intercepts and graph the equation plotting the intercepts 7x-4y=14. Please show all of your work.

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y-intercepts and graph the equation plotting the intercepts 7x-4y=14. Please show all of your work.       Log On


   

Question 627348: Find the x- and y-intercepts and graph the equation plotting the intercepts 7x-4y=14. Please show all of your work.


Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


To find the x-intercept, plug in y=0 and solve for x


7x-4y=14 Start with the given equation.


7x-4%280%29=14 Plug in y=0.


7x-0=14 Multiply -4 and 0 to get 0.


7x=14 Simplify.


x=%2814%29%2F%287%29 Divide both sides by 7 to isolate x.


x=2 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


7x-4y=14 Start with the given equation.


7%280%29-4y=14 Plug in x=0.


0-4y=14 Multiply 7 and 0 to get 0.


-4y=14 Simplify.


y=%2814%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=-7%2F2 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph 7x-4y=14.


Graph of 7x-4y=14

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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

7x-4y=14.

Finding the y-intercept  (highlight%280%29, _)  

7%2Ahighlight%280%29 -4y = 14

 y = -14/4 = -7/2   |||the y-intercept  (highlight%280%29, -7/2) 



Finding the x-intercept  ( _, highlight%280%29)   

 7x -4·highlight%280%29 = 14

     x = 2     ||   the x-intercept is (2 , highlight%280%29) 

Plot (0,-7/2) and (2,0) and connect with a Line