SOLUTION: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work 4x-7y= -28

Algebra ->  Linear-equations -> SOLUTION: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work 4x-7y= -28       Log On


   

Question 536611: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work
4x-7y= -28
Found 2 solutions by jim_thompson5910, rfer:
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


4x-7y=-28 Start with the given equation.


4x-7%280%29=-28 Plug in y=0.


4x-0=-28 Multiply -7 and 0 to get 0.


4x=-28 Simplify.


x=%28-28%29%2F%284%29 Divide both sides by 4 to isolate x.


x=-7 Reduce.


So the x-intercept is .


------------------------------------------


y-intercept


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


4x-7y=-28 Start with the given equation.


4%280%29-7y=-28 Plug in x=0.


0-7y=-28 Multiply 4 and 0 to get 0.


-7y=-28 Simplify.


y=%28-28%29%2F%28-7%29 Divide both sides by -7 to isolate y.


y=4 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 4x-7y=-28.


Graph of 4x-7y=-28


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
4x-7y=-28
4*0-7y=-28
y=4
(0,4)
4x-7*0=-28
x=-28/4
x=-7
(-7,0)