Find the equation for the linear function that passes through the points (−5,−6) and (10,0). answers must use whole numbers and/or fractions, not decimals.

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 5, - 6) and (x₂, y₂ ) = (10, 0)

m = = = , hence

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (10, 0), then

0 = 4 + c ⇒ c = 0 - 4 = - 4

y = x - 4 ← equation of line

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18