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Complete the equation describing how x
and y are related.
х
у
y = -0.5x + [?]
0 -1
1 -1.5
2.
-2
3 1-2.-5
4 -3
5 -3.5
Enter the answer that
belongs in [?]

Complete The Equation Describing How X And Y Are Related Х У Y 05x 0 1 1 15 2 2 3 125 4 3 5 35 Enter The Answer That Belongs In class=

Sagot :

Answer:

y=-0.5x-1

Step-by-step explanation:

To complete the equation, we need the y intercept. The y intercept is at x=0, y=-1

The equation of the line is y = -0.5x - 1.

What is the slope of the line?

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

To determine the equation, we need the y intercept. The y intercept is at x = 0, y = -1

The line passes through the points (0, -1) and (4, -3)

Let

x₁ = 0 y₁ = -1

x₂ = 4, y₂ = -3

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (-3-(-1))/(4-0)

m = (-3+1)/(4)

m = -2/4

m = -1/2

Let the line  (y - y₂) = m(x -x₂ )

Substitute the values in the equation,

So, y-(-3) = -1/2(x-4)

y + 3 = -1/2x +2

y = -0.5x + 2 - 3

y = -0.5x - 1

The equation of the line is y = -0.5x - 1.

Thus, the missing number is - 1.

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ2

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