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sergiy2304 [10]
2 years ago
15

A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line

Mathematics
1 answer:
vitfil [10]2 years ago
7 0

Answer:

Step-by-step explanation:

The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Since the slope is (1/2), we can write:

y = (1/2)x + b

We want a value of b such that it forces the line to go through point (-10,9).  Enter that point in the equation and solve for b:

y = (1/2)x + b

9 = (1/2)*(-10) + b

9 = -5 + b

b = 14

The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:

y = (1/2)x + 14

See attachment.

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aliya0001 [1]

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX =  units,  To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY =  units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)

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Answer:

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