Question

Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The equations of the line that passes throught the point given in the table are as follows;

$y = -\frac{1}{6} x+\frac{1}{3}$

$y-2=-\frac{1}{6}(x+10)$

Equation of a straight line

The linear equation of a striaght line is represented as follows:

y = mx + b

where

• m = slope

• b = y-intercept

Therefore,

m = 1 - 2 / -4 + 10

m = - 1 / 6

Let's find b using (-10, 2)

2 = - 1 / 6(-10) + b

2 = 5 / 3 + b

b = 2 - 5 / 3

b =  6 - 5 / 3

b = 1 / 3

hence,

$y = -\frac{1}{6} x+\frac{1}{3}$

using y - y₁ = m(x - x₁)

y₁ = 2

x₁ = -10

m = - 1 / 6

Hence,

$y-2=-\frac{1}{6}(x+10)$

learn  more on equation of a line here: https://brainly.com/question/20897328

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