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Scilla [17]
3 years ago
10

equation of a line in slo[e-intercept form given the slope = 6 and it passes through the point (1, 8)

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0

Answer:

math way

Step-by-step explanation:

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I do no understand this
vovangra [49]

The equation of a line for the given slope is y=\frac{1}{2} x+1.

Solution:

Given data:

Slope (m) = \frac{1}{2}

Point = (–2, 0)

x_1=-2, y_1=0

To find the equation of the given line in the point-slope form:

<u>Point-slope formula:</u>

y-y_1=m(x-x_1)

Substitute the given values in the formula.

$y-0=\frac{1}{2} (x-(-2))

$y=\frac{1}{2} (x+2)

$y=\frac{1}{2} x+\frac{2}{2}

$y=\frac{1}{2} x+1

The equation of a line for the given slope is y=\frac{1}{2} x+1.

5 0
3 years ago
Solve the system of equations by graphing: 2x + 3y = 2 6x + 18y = 9
cluponka [151]
The answer is  A: x=1/2 , y= 1/3

Solve the following system:
{2 x + 3 y = 2 | (equation 1)
{6 x + 18 y = 9 | (equation 2)

Swap equation 1 with equation 2:
{6 x + 18 y = 9 | (equation 1)
{2 x + 3 y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{6 x + 18 y = 9 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Divide equation 1 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:
{2 x + 6 y = 3 | (equation 1)
{0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x+y = 1/3 | (equation 2)

Subtract 6 × (equation 2) from equation 1:
{2 x+0 y = 1 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Divide equation 1 by 2:
{x+0 y = 1/2 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Collect results:
Answer:  {x = 1/2, y = 1/3

7 0
3 years ago
A company tests the life of its rechargeable batteries over six months of use. They test how long a battery will last after a fu
jonny [76]

Answer:

18.6 months

Step-by-step explanation:

Given that :

Best fit line from scatterplot :

y=-12.05x +224.26

x = Number of month

y = charge on battery

Number of months a typical battery uses before being dead completely :

When battery is dead completely ; charge =0, y = 0

y = -12.05x + 224.26

0 = - 12.05x + 224.26

12.05x = 224.26

x = 224.26 / 12.05

x = 18.610788

Hence, 18.6 months before battery is completely dead.

4 0
2 years ago
Solve for y:<br> x + 2y = -8<br><br> y=-1/2x+4<br> y=-1/2x-4<br> y=-2x - 4<br> y=1/2x-4
adelina 88 [10]

Answer:

x + 2y = -8 = y = -4 - 1/2x

y= -1/2x + 4 =  y = 4

y= -1/2x - 4 = y = -4

y=-2x - 4 = y = -4

y=1/2x-4 = y = -4

Step-by-step explanation:

(x + 2y = -8 = y = -4 - 1/2x)

x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\

4 0
2 years ago
A charity is holding a raffle to raise money. There is one car worth $30,000 and five $100 gift cards being raffled off. Each ti
lesya [120]
30.000+100-5000*20=x(sum of profits)
8 0
3 years ago
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