SOLUTION: Find x and y intercepts and graph the equation plotting the intercepts, show me how you do this step by step please. Create graph. 5x -6y = -45

Algebra ->  Linear-equations -> SOLUTION: Find x and y intercepts and graph the equation plotting the intercepts, show me how you do this step by step please. Create graph. 5x -6y = -45      Log On


   

Question 443184: Find x and y intercepts and graph the equation plotting the intercepts, show me how you do this step by step please. Create graph.
5x -6y = -45
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find x and y intercepts and graph the equation plotting the intercepts,
show me how you do this step by step please. Create graph.
:
5x -6y = -45
:
The x intercept occurs when y = 0, replace y with 0 in the above equation
5x - 6(0) = -45
5x = -45
x = %28-45%29%2F5
x = -9 is the x intercept
:
The y intercept occurs when x = 0, replace x with 0 in the same equation
5(0) -6y = -45
-6y = -45
y has to be positive, multiply both sides by -1
6y = 45
y = 45%2F6 reduces to 15%2F2, therefore:
y = 7.5 is the y intercept
:
we can confirm this with a graph, put equation in to slope/intercept form
y = mx + b
5x - 6y = -45
subtract 5x from both sides
-6y = -5x - 45
get rid of the negative y, multiply both sides by -1
6y = 5x + 45
divide by 6
y = 5%2F6x - 45%2F6
reduce fraction
y = 5%2F6x - 15%2F2
y = 5%2F6x + 7.5
:
Plot this using x=-3 and x=+3
When x= -3
y = 5%2F6(-3) + 7.5
y = 5%2F%28-2%29 + 7.5
y = -2.5 + 7.5
y = 5
Ordered pair -3, 5
:
when x = +3
y = 5%2F6(3) + 7.5
y = 5%2F2 + 7.5
y = +2.5 + 7.5
y = 10
ordered pair 3, 10
:
Plot a straight line thru these to points should look like this
+graph%28+300%2C+200%2C+-10%2C+6%2C+-10%2C+10%2C+%285%2F6%29x%2B7.5%29+
You can see the intercepts are what we calculated them to be