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Vera_Pavlovna [14]
2 years ago
6

Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

Mathematics
1 answer:
dusya [7]2 years ago
4 0

Answer:

  • slope: 1
  • equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3

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What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
6 0
2 years ago
Georgia works part-time at a daycare while she is going to college. She earned $160 last week. Georgia worked 12 more hours than
Lelu [443]

Answer:

B. $8

Step-by-step explanation:

Given:

Total payment, T = $160

Hourly rates = $t/hour

= total payment/total time worked

The question said, "worked 12 more hours than the amount she is paid per hour".

Total time worked = (12 + t) hour

Therefore, Hourly rates of payment, t = 160/(12 + t)

t^2 + 12t - 160 = 0

Solving the above quadratic equation,

t = -20 and 8

t = $8

3 0
3 years ago
If I subtract the square of one integer from the square of another, the difference could be
SIZIF [17.4K]

Answer:

The answer is C

Step-by-step explanation:

3 0
3 years ago
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions of 3 inches by 3 inches by 3.6
Karo-lina-s [1.5K]

To find the volume of the computer, we just have to multiply each coordinate.

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3 0
1 year ago
Help please I'll give brainliest and a vote!!!
fredd [130]

Answer:

Quality Plumbing charges more per hour.

In the graph, you can see that it would cost $150 for their work plus $100 per hour based on the slope of the line.

A Plus Plumbing charges $140 for their work plus $60 per hour.

7 0
2 years ago
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