How do i graph 2x + 3y = 9
2 answers:
1) Find the y - intercept
you can do this by finding the value for y:
2x+3y=9 —-> move 2x to the other side
3y = -2x + 9 —> then divide both sides by 3
y = -⅔x + 3 <— this is your y-intercept
to graph this, start from the point (0,0)
your first point will be the constant which in this case is number 3
so plot this 3 on your y- axis on your grid
from there, your term in the equation which in this case is -⅔x
from your first point which is (0,3) you either:
go up two times, go left three times
or
go down two times, go right three times
you can do this by finding the value for y:
2x+3y=9 —-> move 2x to the other side
3y = -2x + 9 —> then divide both sides by 3
y = -⅔x + 3 <— this is your y-intercept
to graph this, start from the point (0,0)
your first point will be the constant which in this case is number 3
so plot this 3 on your y- axis on your grid
from there, your term in the equation which in this case is -⅔x
from your first point which is (0,3) you either:
go up two times, go left three times
or
go down two times, go right three times
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the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
⇒
⇒
⇒
At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
⇒
⇒
⇒
At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
⇒
⇒
⇒
Therefore , the solutions to the related equation are 0,2,3 .
In isosceles right triangle, legs are equal. Let each leg is of x units . And the given hypotenuse is 5 square 6. We use pythagorean identity here, which is
Where a=b=x and c= 5 square root 6
And that's the length of both the legs . ANd that's the required answer .