Given a line with a slope of1/2 and a point(6,5) which lies on that find an equation to represent that line
1 answer:
Answer:
The equation of the line is given as 2 y - x = 4.
Step-by-step explanation:
Here, the slope of the given line = 1/2
The point on the line is (x0,y0) = (6,5)
Now, by POINT SLOPE FORMULA:
The equation of line with (x0,y0) and slope m is written as:
(y - y0) = m (x-x0)
So, here the equation of line is given as
Hence the equation of the line is 2 y - x = 4.
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Answer:
The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.
Step-by-step explanation:
Given,
A 1 meter steel rod is bent into a rectangle.
That means the perimeter of the rectangle is 1 meter.
So, Perimeter =
Let the width of the rectangle be 'x'.
Now According to question, length exceeds quadruple its width by 5 cm.
Hence framing the above sentence in equation form, we get;
Now we use the formula of perimeter of rectangle,
On substituting the values, we get;
Now, we substitute the value of x to get the value of length;
Thus, Width=9 cm Length=41 cm
Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.