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3 years ago

NEED HELP WITH 7 AND 8 I WILL GOVE BRAINEST ONLY IF YOU ACTUALLY DO THE PROBLEMS

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7

8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8

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Y=1/2x-2

To find the point where the two lines intersect they are set equal to each other so that x can be found:
2x-5=-x+1
2x+x=1+5
3x=6
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If x is known, x can be plugged into one of the two equations to find y.
y=-x+1=-2+1=-1

This means the point where they intersect is (2,-1).
We also know that the slope has to be 1/2 because the slope has to match the slope of the line it is parallel to.

Putting this into point slope form, we get:
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Which can be simplified into slope intercept form:
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3 years ago

HELP PELASE ILL MARK BRAINLIEST AND POINTS!

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$\qquad\qquad\huge\underline{{\sf Answer}}$

Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.

and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.

that is ~

$\qquad \sf \dashrightarrow \: x + y = 3$

put y = - 2,we will get :

$\qquad \sf \dashrightarrow \: x - 2 = 3$

$\qquad \sf \dashrightarrow \: x = 5$

so, 1st equation satifys the condition. let's check out 2nd one.

$\qquad \sf \dashrightarrow \: x + 2y = 1$

put y = -2

$\qquad \sf \dashrightarrow \: x + (2 \times - 2) = 1$

$\qquad \sf \dashrightarrow \: x - 4 = 1$

$\qquad \sf \dashrightarrow \: x = 5$

Hence, we can conclude that the Correct choice is D

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