1 answer:
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Perimeter (p) = length around a shape.
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:
So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:
P = 24 + 4.47 = 28.47
D) 28.472
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:
So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:
P = 24 + 4.47 = 28.47
D) 28.472
The equation of the line passes through (2, -1) and (4, 5) is -3x + y = - 7 So, option 2 is correct.
<u>Solution:</u>
Given, two points are (2, -1) and (4, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
So, slope of line "m" is given as:
So slope of our line =
Now, let us find the line equation using point slope form:
Then equation of line is,
y – 5 = 3(x – 4)
y – 5 = 3x – 12
-3x + y = 5 – 12
-3x + y = -7
Hence, the line equation is -3x + y = - 7 so, option 2 is correct.