Find a Point-Slope equation for a line containing the given point and having the given slope. 1. (4,-3),m = -1
2. (-5,-6)m = 2
3. Y-2=3(x+7)
4. Y-5=-2(x-3)
5. (6,-2),m = -3
6. (5,-2), m =2
7. (7,0),m =4
8. (0,9), m =-2
9. Y+1=1/5(x-5)
10. Y+2=1/4(x+3)
11. (0,8) and (-1,10)
12. (-6,8) and (4,8)
13. (4,5) and (-3,8)
14. (0,9) and (2,0)
15. (-1,7) and (8,-2)
16. (4,0),(0,5)
17. (5,7),(-1,3)
18. (0,0),(-4,3)
19. (-3,-5),(3,-15)
20.(-1/2,1/2),(1/4,3/4)

Please show your work!

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft