Write the slope intercept form of the equation of the line through the given points (-1,-5) (0,3) make sure your answer is in y=Mx+b form

y=8x+3

Step-by-step explanation:

Find the slope of the line between  ( − 1 , − 5 )  and  ( 0 , 3 )  using  m = y 2 − y 1/ 2 − x 1 , which is the change of  y  over the change of  x . Which gets you the slope of 8.

Use the slope  8  and a given point  ( − 1 , − 5 )  to substitute for  x 1  and  y 1  in the point-slope form  y − y 1 = m ( x − x 1 ) , which is derived from the slope equation  m = y 2 y 1 /2 − x 1 .

y − ( − 5 ) = ( 8 ) ( x − ( − 1 ))  

Simplify the equation and keep it in point-slope form. y + 5 = 8 ⋅ ( x + 1 ) Solve for  y .

y = 8 x + 3

y=8x+3

Find the slope of the line between  ( − 1 , − 5 )  and  ( 0 , 3 )  using  m = y 2 − y 1/ 2 − x 1 , which is the change of  y  over the change of  x . Which gets you the slope of 8.

Use the slope  8  and a given point  ( − 1 , − 5 )  to substitute for  x 1  and  y 1  in the point-slope form  y − y 1 = m ( x − x 1 ) , which is derived from the slope equation  m = y 2 y 1 /2 − x 1 .

y − ( − 5 ) = ( 8 ) ( x − ( − 1 ))  

Simplify the equation and keep it in point-slope form. y + 5 = 8 ⋅ ( x + 1 ) Solve for  y .

plus i just did this

y = 8 x + 3

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9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b