The linear equation that defines the line G can be written as:
y = -(1/3)*x + 5
A general linear equation written in the slope-intercept form is:
y = a*x + b
Where a and b are real numbers, a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we know that the line passes through (-3, 6) and (0, 5), then the slope is:
a = (5 - 6)/(0 - (-3)) = -1/3
The linear equation is something like:
y = (-1/3)*x + b
We know that it passes through (0, 5), then:
5 = (-1/3)*0 + b
5 = b
We conclude that the linear equation can be written as:
y = -(1/3)*x + 5
If you want to learn more about linear equations:
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