Question

what is the equation for this line?
enter in the answer box

Answer 1

Answer:  y = -3/2 x -2

Step-by-step explanation:

To make equation we need to find y , m and c.

points on x axis and y axis

(-4,4) , (2,-5)

y =mx + c  ( this is the equation form )

For this first we find m

m = Δy / Δx

 = y₂ ⁻ y₁ / x₂ ⁻ x₁

 = -5 -4/ 2- (-4)

= -9 / 6 = -3/ 2

m= -3/2

Putting the value of m in the equation

y = mx + c

-5 = -3/2 ×2 + c

-5 = -6/2 + c

-5 = -3 + c

-5 + 3 = c

-2 = c

Putting the value of c and m in the equation

y = mx + c

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

y = -3/2 x -2

Answer 2

Hey mate.....

m = Δy / Δx

 = y₂ ⁻ y₁ / x₂ ⁻ x₁

 = -5 -4/ 2- (-4)

= -9 / 6 = -3/ 2

m= -3/2

Putting the value of m

y = mx + c

-5 = -3/2 ×2 + c

-5 = -6/2 + c

-5 = -3 + c

-5 + 3 = c

-2 = c

Putting the value of c and m in

y = mx + c

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

y = -3/2 x -2

Hope this helps❤