What expression is equivalent to 6(3x+4)?
1 answer:
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Answer:
Mid point of the given end points =
Step-by-step explanation:
Given the end points of the line segment are :
(0, ) & (
,0)
We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)
mid point =
now put the value of x₁ = 0
x₂ =
y₁ =
y₂ = 0
mid point =
=
That's the final answer.
The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
<h3>How to get the equation of the line?</h3>
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
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