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nadya68 [22]
3 years ago
10

Write the equation of the line through (6,4) that is parallel to the line whose equation is y= 1/2 x+7. Show all work below and

place it in Slope Intercept Form.
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0

Answer:

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

Step-by-step explanation:

4 = ½[6] + b

3

\displaystyle 1 = b \\ \\ y = \frac{1}{2}x + 1

I am joyous to assist you anytime.

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4 0
3 years ago
Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
Sonja [21]

Answer:

Step-by-step explanation:

The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270

Now selecting 2 gems from 25 is 25C2

25 C 2 = 25 * 24/2 = 300

Selecting one good gem is 10

Total selection = 300 * 10 = 3000

P(gems) = 3000 / 39270

P(gems) = 300/3927

P(gems) = 100/1309

6 0
2 years ago
What are the solutions of the inequality (x-3)(x+5)<=0
GarryVolchara [31]

Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.

x - 3 ≤ 0

x + 5 ≤ 0

For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.

x ≤ 3

x ≤ - 5

These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.

4 0
3 years ago
What is the x-intercept of the equation: 3x+6y=42
vlabodo [156]

Answer:

( 14 , 0 )

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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