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grin007 [14]
3 years ago
13

Line L has equation 2x - 3y = 5. Line M passes through the point (2, -10) and is perpendicular to line L. Determine the equation

for line M.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

Below

Step-by-step explanation:

The line L has the following equation:

● 2x - 3y = 5

Add -2x to both sides

● 2x - 3y -2x = 5 - 2x

● -3y = 5 - 2x

Multiply both sides by -1

● (-1) × -3y = (-1) × (5-2x)

● 3y = 2x - 5

Divide both sides by 3

● 3y/3 = (2x - 5)/3

● y = (2/3)x - 5/3

The line M is perpendicular to L

So the product of their slopes is -1

Let m be the slope of M

● m × (2/3) = -1

● m = -1 × (3/2)

● m = -3/2

So the equation of M is:

● y = (-3/2)x + b

b is the y-intercept

M passes through (2, -10)

Replace by the coordinates of this point

● -10 = (-3/2)×2 + b

● -10 = -3 + b

● b = -10 + 3

● b = -7

The equation of M is

● y = (-3/2)x -7

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For finding mid point we know that formula

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So midpoint will be =\frac{0.9876+0.9887}{2}=\frac{1.9763}{2}=0.98815

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3 years ago
Find the equation of the line<br> In the form y=mx+b
Aleonysh [2.5K]

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8 0
3 years ago
WILL GIVE BRAINLIEST
Olegator [25]
The answer is A.
We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.
We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.
Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B
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Hope this made sense!!

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