Graph each be pair of lines on the same axis
1 answer:
<u>Answer</u>
The two lines are parallel
Step-by-step explanation:
The first line is:
The slope is 2 and y-intercept is 3.
The second line is
The slope of this line is also 2 and the y-intercept is 0.
The graph of the two lines are shown in the attachment.
We can see that both lines are parallel because they have the same slope.
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Given:
Perimeter of a parallelogram = 64 cm
Length = 3 times larger than the width
To find:
The length of the parallelogram.
Solution:
We know that, the perimeter of the parallelogram is:
Where, l is length and w is width of the parallelogram.
We have, l = 3w and P=64.
So,
Divide both sides by 8.
Now,
Therefore, the length of the parallelogram is 24 cm.
The formula for Slope is m = 
where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.
m = Plug in the given values
= 
Cross multiply
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[<span>tex] \frac{1}{4} [/tex] =
Simplify the double negative
</span><span> = 
Simplify the numerator and denominator
</span><span> =
</span>
Since both sides equal each other, y = -2.
m =
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[<span>tex] \frac{1}{4} [/tex] =
</span><span>
</span><span>
</span>
Since both sides equal each other, y = -2.