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Complete the eqaution describing how x and y are related​

Complete the eqaution describing how x and y are related​-example-1
User Lyana
by
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1 Answer

2 votes

Answer:

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)

User Shrinidhisondur
by
8.4k points

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