The linear equation that defines the line G can be written as:
y = -(1/3)*x + 5
<h3>How to get the equation of the line G?</h3>
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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Find the average of the x values: 10+-4=6/2=3
The average of the y values: 6+8=14/2=7
The point is (3,7)
Answer:
C
Step-by-step explanation:
slope is the change of y / change of x
.
we can pick any points and find the changes in y and x
lets pick (0 , 0) and (5 , 6) .
the change of y = 6-0 = 6.
the change of x = 5-0 = 5.
so the slope of the line is 6/5
.
61/100 = 0.61
so
the least is 61/100 then 0.65 and then 61.5 last
Answer:
The correct answer is 10 days.
Step-by-step explanation:
To fill a trench, 5 men work for 6 hours a day for eight days.
Total work hours required is given by 5 × 6 × 8 = 240 hours.
The same work is supposed to be done by 3 men working 8 hours a day.
Let these three men need to work for x days.
Therefore total work hour these group of three men gave = 3 × 8 × x = 24x hours
Therefore the work hour of both the group of 5 men and 3 men should be equal.
⇒ 24x = 240
⇒ x = 10
Therefore the group of 3 men have to work for 10 days to fill the trench.