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Arturiano [62]
3 years ago
10

Help me please! (easy question) and (15 points) Brainliest if right!!!

Mathematics
1 answer:
Iteru [2.4K]3 years ago
3 0

Answer:

D. y = -1/2x + 18.5

Step-by-step explanation:

First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.

(1, 18) & (6, 15.5)

Plug in these values:

(15.5 - 18) / (6 - 1)

Simplify the parentheses.

= (-2.5) / (5)

Simplify the fraction.

-2.5/5

= -1/2

This is your slope.

Now plug this into the standard slope-intercept equation: y = mx + b

y = -1/2x + b

b is the y-intercept, or the value of y when x = 0.

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 18). Plug in the x and y values into the x and y of the standard equation.

18 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

18 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

18.5 = b

Plug this into your standard equation.

y = -1/2x + 18.5

This is your equation.

Hope this helps!

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