Question

Complete the eqaution describing how x and y are related​

Answer 1

y = -4x + (-6)

Explanation:

Equation of line in slope y-intercept form:

`\boxed{\bf y = mx + b}`

Here m is the slope and b is the y-intercept.

Choose any two points.

(0, -6) ⇒ x₁ = 0 & y₁ = -6

(1, -10) ⇒ x₂ = 1 & y₂ = -10

Find the slope using the formula,

`\boxed{\bf Slope =(y_2-y_1)/(x_2-x_1)}`

`\sf = (-10-(-6))/(1-0)\\\\\\=(-10+6)/(1)\\\\\\=(-4)/(1)\\\\=-4`

Equation becomes,

y = -4x + b

In this equation substitute the point (0, -6) and find the value of

y-intercept.

-6 = 0 + b

`\boxed{\bf b = -6}`

Answer:

Equation of the line:

y = -4x + (-6)