HELP ME OUT PLEASE SOLVE IT..............

Question

Find the x and y intercept

(1) 2x+5y=-10

(2) 2x-6y=24

 

 

On the first question ,I got  (5,0),(0,-2)

Am I right 

Answer 1

Ma,

Rather than just give you a yes/no let's look at how we can figure it out.

 

2x+5y=-10

 

To find the Y intercept what we want to do is figure out what the Y coordinate will be when X=0.

To do this, we can just plug in the X value of 0 and see what we get.

(2)(0) + 5Y = -10

5Y = -10

Y = -10/5

Y = -2

 

so (0,-2) is correct.

 

Now, to get the x intercept, we just have to make Y = 0 and solve foe x

2x +(5)(0) = -10

2x = -10

x = -10/2

x = -5

 

so (-5,0) is also correct.

 

 

See if you can use what i showed you here to do the second equation. If you get stuck or confused, just follow up and I will help you further.

 

Good luck!

Answer 2

Hi Ma,

 

1) 2x + 5y = -10 

 

First write it into the standard 'y=mx +c' form  (c is always the y intercept)

 

It will become:   5y = -2x - 10

 

Now when you simplify this equation you get:

 

y = -2/5 x -10/5

 

y = -2/5 x - 2  (this is the final equation where c is -2 = y intercept)

 

Now for x intercept substitute 0 for y.

 

5 (0) = -2x -10

0 =  -2x -10

 

0 =  -2x -10

 

2x = -10

 

x = -5

 

so the x and y intercepts are -2 and -5 respectively.