SOLUTION: Find the x- and y-intercepts of the graph of the equation.3x - 12y = -10 I' m in 8th grade I'm having so much trouble with this concept. Will you please give me the steps and rea

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y-intercepts of the graph of the equation.3x - 12y = -10 I' m in 8th grade I'm having so much trouble with this concept. Will you please give me the steps and rea      Log On


   

Question 253665: Find the x- and y-intercepts of the graph of the equation.3x - 12y = -10
I' m in 8th grade I'm having so much trouble with this concept. Will you please give me the steps and reasons to solving this type of problem.

Your assistance is greatly appreciated.
Thank you,
Gloria
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
The line equation is Y=mX+b where (X,Y) is one set of coordinates, m=the slope & b=the y intercept.
3x-12y=-10
-12y=-3x-10
y=-3x/-12-10/-12
y=x/4+5/6 is the line equation.
The Y intercept (b) is (0,5/6)
To find the x intercept you set y=0 & solve for x.
0=x/4+5/6
x/4=-5/6 cross multiply.
6x=-20
x=-20/6
x=-10/3 or (-10/3,0)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2F4+%2B5%2F6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/4 +5/6).

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


3x+-+12y+=+-10 Start with the given equation.


3x+-+12%280%29+=+-10 Plug in y=0.


3x+-+0+=+-10 Multiply 12 and 0 to get 0.


3x+-+0+=+-10 Simplify.


3x=-10%2B0 Add 0 to both sides.


3x=-10 Combine like terms on the right side.


x=%28-10%29%2F%283%29 Divide both sides by 3 to isolate x.


So the x-intercept is .


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


y-intercept


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


3x+-+12y+=+-10 Start with the given equation.


3%280%29+-+12y+=+-10 Plug in x=0.


0+-+12y+=+-10 Multiply 3 and 0 to get 0.


+-+12y+=+-10 Simplify.


y=%28-10%29%2F%28-12%29 Divide both sides by -12 to isolate y.


y=5%2F6 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 3x+-+12y+=+-10.


Graph of 3x+-+12y+=+-10