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2 years ago

15

The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains

the point (3,-2)?
Oy = 2x - 4
Oy=-*
Oy = 2x - 8

2 answers:

hodyreva [135]2 years ago

7 0

Answer:

Step-by-step explanation:

eq. of line parallel to AB is y=2x+a

if it passes through (3,-2) then

-2=2×3+a

a=-2-6=-8

y=2x-8

Nadusha1986 [10]2 years ago

4 0

Answer:

y = 2x - 8

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line, AB is

y = 2x + 4

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (3, -2) is 2

To determine the intercept, we would substitute m = 2, x = 3 and y = -2 into y = mx + c. It becomes

- 2 = 2×3 + c = 6 + c

c = - 2 - 6 = - 8

The equation becomes

y = 2x - 8

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Q8<br> The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Amanda [17]

Answer:

(3,-5)

Step-by-step explanation:

Given

$M = (2,2)$

$H = (1,9)$

Required

Determine G

This is calculated using the following midpoint formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where

$(x,y) = (2,2)$ and $(x_1,y_1) = (1,9)$

Substitute these values in the formula above

$(2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})$

Solving for $x_2$

$2 =\frac{1 + x_2}{2}$

Multiply both sides by 2

$2 * 2 = 1 + x_2$

$4 = 1 + x_2$

$x_2 = 4 - 1$

$x_2 = 3$

Solving for $y_2$

$2 = \frac{9 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = 9 + y_2$

$4 = 9 + y_2$

$y_2 = 4 - 9$

$y_2= -5$

Hence, the coordinates of G is $(3,-5)$

4 0

2 years ago

Help please, im unsure

Helen [10]

Answer:

The value of AM = 43

Step-by-step explanation:

As point M is the midpoint of AB, so

AB = AM + BM

AM = BM

Given

AB = 8x - 50

AM = 2x + 9

so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM

AB = AM + BM

8x - 50 = 2x + 9 + BM

8x - 2x - 50 - 9 = BM

6x - 50 = BM

Thus,

BM = 6x - 59

As

AM = BM

so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM

2x + 9 = 6x - 59

switch sides

6x - 59 = 2x + 9

subtract 2x from both sides

6x - 2x - 59 = 2x + 9 - 2x

4x - 59 = 9

add 59 to both sides

4x - 59 + 59 = 9 + 59

4x = 68

divide both sides by 4

4x/4 = 68/4

x = 17

Thus, the value of x = 17

Therefore, the value of AM will be:

AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43

Hence, the value of AM = 43

<u>Verification:</u>

AM = BM

2x + 9 = 6x - 59

2(17) + 9 = 6(17) - 59

34 + 9 = 102 - 59

43 = 43

and

AB = 8x - 50 = 8(17) - 50 = 86

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