SOLUTION: given 3x+5y=8;find the x and y intercept

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Question 118251: given 3x+5y=8;find the x and y intercept
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by 3



So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



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

Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by 5




So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

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

So we have these intercepts:
x-intercept:

y-intercept:


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

:
The is where the the ; just ask yourself what value is on the ? No matter where you are on the , value is , that is a .
So, we will put into given equation:




or
........so, the is (,)


it is value that is ; any where you would cross the , value is always





or
........so, the is (,)
Graph:

Solved by pluggable solver: Graphing Linear Equations


Start with the given equation



Subtract from both sides

Multiply both sides by

Distribute

Multiply

Rearrange the terms

Reduce any fractions

So the equation is now in slope-intercept form () where (the slope) and (the y-intercept)

So to graph this equation lets plug in some points

Plug in x=-9



Multiply

Add

Reduce

So here's one point (-9,7)





Now lets find another point

Plug in x=-4



Multiply

Add

Reduce

So here's another point (-4,4). Add this to our graph





Now draw a line through these points

So this is the graph of through the points (-9,7) and (-4,4)


So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go down -3 units and to the right 5 units to get to the next point), the y-intercept is (0,) ,or (0,), and the x-intercept is (,0) ,or (,0) . So all of this information verifies our graph.


We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,).


So we have one point (0,)






Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go down 3 units


and to the right 5 units to get to our next point



Now draw a line through those points to graph


So this is the graph of through the points (0,1.6) and (5,-1.4)
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