Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. The table shows
how much water, in gallons, remains at different times during the day. What is the equation that represents Yulian's situation in point-slope form? (HINT: Give all fractions as decimals)
1 answer:
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Answer:
The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Step-by-step explanation:
Given as :
The three line equation is
Line 1 : 2 y = 5 x + 6
Line 2 : y = x - 1
Line 3 : 10 x + 4 y = - 6
Now, The standard equation of line is
y = m x + c
where m is the slope of line
And c is the y intercept
So, From Line 1
2 y = 5 x + 6
or , y = x +
I.e y = x + 3
So, slope of this line = =
Again , From Line 2
y = x - 1
So, slope of this line = =
Similarly , From Line 3
10 x + 4 y = - 6
I.e 4 y = - 6 - 10 x
or, y = - -
x
I.e y = - x -
So, Slope of this line = = -
<u>Now, If the lines are parallel , then the slope of the lines are equal</u>
<u>And If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>
Now, From given lines
×
=
× ( -
)
I.e ×
= - 1
So, The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Hence The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3 Answer