SOLUTION: Find the x- and y- intercepts of 7x-2y=-5 and use them to graph the equation. Please provide me with as many steps as possible. I am trying really hard to understand how to do t

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y- intercepts of 7x-2y=-5 and use them to graph the equation. Please provide me with as many steps as possible. I am trying really hard to understand how to do t      Log On


   

Question 102648: Find the x- and y- intercepts of 7x-2y=-5 and use them to graph the equation.
Please provide me with as many steps as possible. I am trying really hard to understand how to do these. Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7%2Ax-2%2Ay=-5 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
7%2Ax-2%2A%280%29=-5 Plug in y=0

7%2Ax=-5 Simplify

x=-5%2F7 Divide both sides by 7



So the x-intercept is (-5%2F7,0) (note: the x-intercept will always have a y-coordinate equal to zero)

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7%2Ax-2%2Ay=-5 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
7%2A%280%29-2%2Ay=-5 Plug in x=0

2%2Ay=-5 Simplify

x=-5%2F-2 Divide both sides by -2



y=5%2F2 Reduce



So the y-intercept is (0,5%2F2) (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept: (-5%2F7,0)

y-intercept: (0,5%2F2)



Now plot the two points (-5%2F7,0) (which is the point (-0.714285714285714 ,0) in decimal form) and (0,5%2F2) (which is the point (0,2.5) in decimal form)




Now draw a line through the two points to graph 7%2Ax-2%2Ay=-5
graph of 7%2Ax-2%2Ay=-5 through the points (-5%2F7,0) and (0,5%2F2)