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Lina20 [59]
3 years ago
8

Find the slope and the y-intercept of the of the linear equation. 0=2-3y+12x

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

The slope is 4 and the y-intercept is \frac{2}{3}

Step-by-step explanation:

The general form of a linear equation is Ax + By + C = 0, where

  • A is the coefficient of x
  • B is the coefficient of y
  • C is the numerical term
  • A, B, and C are integers
  • The slope of the line = \frac{-A}{B}
  • The y-intercept = \frac{-C}{B}

∵ The linear equation is 0 = 2 - 3y + 12x

- Switch the two sides and arrange the terms as the general

   form above

∴ 12x - 3y + 3 = 0

∴ A = 12

∴ B = -3

∴ C = 2

∵ The slope of the line = \frac{-A}{B}

- Substitute A by 12 and B by -3

∴ The slope of the line = \frac{-12}{-3}

∴ The slope of the line = 4

∵ The y-intercept = \frac{-C}{B}

- Substitute C by 2 and B by -3

∴ The y-intercept = \frac{-2}{-3}

∴ The y-intercept = \frac{2}{3}

The slope is 4 and the y-intercept is \frac{2}{3}

Learn more:

You can learn more about the linear equation in brainly.com/question/4819659

#LearnwithBrainly

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Determine both the x and y intercepts. Please help! Will mark brainliest!
Mademuasel [1]

Answer:

y-intercept: (0, 2.5)

x-intercept: (1.67, 0)

Step-by-step explanation:

Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.

2y = -3x + 5

y = -3/2x + 5/2

From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).

To get the x-intercept, substitute 0 for y.

0 = -3/2x + 5/2

3/2x = 5/2

3x = 5

x = 5/3

So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).

Hope this helps!

3 0
3 years ago
Read 2 more answers
S 8,000 a good estimate for the sum of 3,816 and 467?
Damm [24]

Answer:

it is  not a good estimate.

Step-by-step explanation:3816 can be rounded to 4000 and 467 can be rounded to 500. Adding 4000+500 gives 4500, which isn't near 8000.

i hoped this helped :)

<3

7 0
3 years ago
What is the slope of a line that passes through the points (-5,-3) and (9,-6)
kipiarov [429]
To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3)  (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1      -6-(-3)     -9
-------- =   -------- =  ----
x2-x1       9-(-5)     14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14


7 0
3 years ago
The fine schedule for overdue books at the county library is modeled by the values in the table.
Tasya [4]

Answer:

The answer would be B!

Step-by-step explanation:

In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x).  

hoped this helped :D

3 0
3 years ago
Read 2 more answers
1. 90c : $4.50<br> 2. 80cm : 1.2m
horrorfan [7]

Answer:

see explanation

Step-by-step explanation:

Before simplifying the ratios we require them to have the same units.

(1)

$4.50 = 450c, thus

90c : $4.50

= 90 : 450 ← divide both parts by 10

= 9 : 45 ← divide both parts by 9

= 1 : 5

(2)

1.2 m = 1.2 × 100 = 120 cm, thus

80 cm : 1.2 m

= 80 : 120 ← divide both parts by 10

= 8 : 12 ← divide both parts by 4

= 2 : 3

4 0
3 years ago
Read 2 more answers
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