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Fed [463]
4 years ago
7

A line has a y intercept of 8 and a slope of -2. What is the equation of a line that is perpendicular to this line.?

Mathematics
2 answers:
Cerrena [4.2K]4 years ago
6 0
Use the equation of a line: y = mx + c
- “M” stands for the slope
- “C” is the coordinate “y” when the line intercepts the y axis.

Any line which is perpendicular to another has the opposite gradient/slope of the original line: instead of 2, we now have 1/2. Easy way to do this is simply give it the reverse sign (+ or -) and flip the numerator and denominator.

Therefore, we replaced m with 1/2.

Usually to find c and therefore complete the equation, we need a coordinate which the line crosses, to which we substitute its values into y and x and solve for c.

Since we aren’t given that though, we can just do factor of elimination, giving C) as your answer because it is the only one with the gradient which we found.

soldi70 [24.7K]4 years ago
3 0
Y=1/2x+4
Slopes a.a’=-1
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Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance
nikitadnepr [17]

Answer:

Number of miles remaining for Jason to reach end of the path = 3/4 miles

Step-by-step explanation:

Total distance of the path = 12 1/4 miles

Distance reached by Jason's bike on the path = 11 1/2 miles

Enter the distance, in miles, Jason must ride to reach the end of the path.

Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path

= 12 1/4 miles - 11 1/2 miles

= 49/4 - 23/2

= (49-46) / 4

= 3/4 miles

Number of miles remaining for Jason to reach end of the path = 3/4 miles

6 0
3 years ago
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
den301095 [7]

Answer:

1) x = (a+c)/b

2) The equation is correct no matter what value x takes.

Step-by-step explanation:

1) a−(a+b)x=(b−a)x−(c+bx)

<=> a - ax - bx = bx - ax - c - bx

<=> a - ax - bx - (bx - ax - c - bx) = 0

<=> a - ax - bx - bx + ax + c + bx = 0

<=> a - ax + ax - bx - bx + bx + c = 0

<=> a - bx + c = 0

<=> bx = a + c

If b ≠ 0, x = (a+c)/b

2) 2(3x−5a)+9(2a−7b)+3(5a−2x)=0

<=> 2×3x + 2×(-5a) + 9×2a + 9× (-7b) + 3×5a + 3×(-2x) = 0

<=> 6x -10a + 18a - 63b + 15a - 6x = 0

<=> (6x - 6x) + (15a - 10a + 18a) - 63b = 0

<=> 23a - 63b = 0

<=> 23a = 63b

=> a = 63b/23

with all values of x, the equation is correct.

3 0
3 years ago
Read 2 more answers
Solve with all work <br> −4(2 + 9) + 3 = 6 − 4( − 3)
ra1l [238]

Answer:

They do not equal eachother

Step-by-step explanation:

-4(2+9) + 3 = 6 - 4(-3)

-12 - 36 + 3 = 6 + 12

-45 = 18

3 0
3 years ago
The first answer is factual, but please help.
DIA [1.3K]

Answer:

B) 2

C) y = 2x

Step-by-step explanation:

Part B

Constant is 2 because in order to get x to the value of y, you must multiply by 2.

Part C

y = 2x

3 0
3 years ago
-9x+8=26 i need help
Flura [38]

The answer is -2.

im sorry if the work is messy.

4 0
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