Analiza 2 years ago What is the slope of the line 5x - 2y = -10?

1. ash2326

Could you rearrange the equation such that, it's of the form $y=mx+c$ ?

2. Analiza

Idk how to.

3. ash2326

divide whole equation by -2

4. Analiza

Even the 5x?

5. JayDS

rearrange it into the form of y = mx + c so 5x - 2y = -10 5x + 20 = 2y 2y = 5x + 20 y = 5/2x +20/2 y = 5/2x + 10 now the m = gradient or slope that you can read from the last line of the rearranged equation so what is it?

6. ash2326

yeah

7. JayDS

try it yourself and then check with mine.

8. Analiza

I got x=1?

9. GiggleSquid
10. JayDS

show me ur working out @Analiza?

11. GiggleSquid

sorry to stike you down jay

12. Analiza

I got confused, how m I supose to divide -2y & 5x?

13. JayDS

can you understand the steps I did?

14. JayDS

5x - 2y = 10 so we want y to be on one side so we will have to +2y on both sides 5x -2y + 2y = 10 + 2y 5x = 10 + 2y now we have to minus 10 on both sides 5x - 10 = 10 -10 + 2y 5x - 10 = 2y now we are going to rewrite it 2y = 5x - 10 this is same as the previous step but just swapping them around y = 5/2 - 10/2 divide both sides by 2 y = 5/2x - 5

15. JayDS

lets try an easier sample, say 2x + y = 1, and rearrange into the form on y= mx + c

16. laxkid

slope is $\frac{5}{2}$

17. JayDS

yes, @laxkid we figured that out already

18. JayDS

I can see that you have trouble rearranging basic equations, so I think you should start by doing some exercises.