SOLUTION: Find the intercepts and then use them to graph the equation 4x+5y=20 I have to see the graph I keep coming up with wrong answers can you please help me anyone?

Algebra ->  Linear-equations -> SOLUTION: Find the intercepts and then use them to graph the equation 4x+5y=20 I have to see the graph I keep coming up with wrong answers can you please help me anyone?      Log On


   



Question 243565: Find the intercepts and then use them to graph the equation
4x+5y=20
I have to see the graph I keep coming up with wrong answers can you please help me anyone?

Found 2 solutions by jim_thompson5910, oberobic:
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%2B5y=20 Start with the given equation.


4x%2B5%280%29=20 Plug in y=0.


4x%2B0=20 Multiply 5 and 0 to get 0.


4x=20 Simplify.


x=%2820%29%2F%284%29 Divide both sides by 4 to isolate x.


x=5 Reduce.


So the x-intercept is .


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


y-intercept


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


4x%2B5y=20 Start with the given equation.


4%280%29%2B5y=20 Plug in x=0.


0%2B5y=20 Multiply 4 and 0 to get 0.


5y=20 Simplify.


y=%2820%29%2F%285%29 Divide both sides by 5 to isolate y.


y=4 Reduce.


So the y-intercept is .


Now plot the x and y intercepts. In other words, plot the points and




Now draw a straight line through those points to graph 4x%2B5y=20:



Graph of 4x%2B5y=20 through the points and .

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
First, get the formula in y = mx + b format.
.
4x + 5y = 20
Subtract 4x from both sides
5y = 20 - 4x = -4x + 20
Divide both sides by 5
y+=+%28-4x%29%2F5+%2B+20%2F5+=+-%284%2F5%29x+%2B+4
.
when x=0, y = 4
when y=0, x = 5
.
Graph:
%0D%0Agraph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-4%2F5%2Ax%2B4%29%0D%0A
.
Done