Write an equation that represents the line that passes through the points (2,-3) and (-5,1). Show work.

Step-by-step explanation:

find slope of line formula is in picture m=(1+3)/(-5-2) = 4/-7

now by general eq in point slope form

y-y₁ = m(x-x₁)

y+3 = -4/7(x-2)

7y+21 = -4x+8

4x+7y+13=0

the points also satisfy this equation.

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -