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Vladimir79 [104]
3 years ago
6

Write the equation of the line in slope intercept form that is parallel to y=8x+5 and goes through the point (-2,8)

Mathematics
2 answers:
lutik1710 [3]3 years ago
5 0

Answer:

y = 8x + 24

Step-by-step explanation:

The slope of a parallel line is the same as the slope in the equation given.  Use that slope (8) and the point given (-2, 8)  and plug into y = mx + b to find b

8 = -2 (8) + b

8 = -16 + b

24 = b

Write the new equation with the m and b

y = 8x + 24


pychu [463]3 years ago
4 0

Answer:

The equation of the line would be y = 8x + 26

Step-by-step explanation:

In order to find the equation, we first need to note that they will have the same slope due to the definition of parallel lines. Knowing that, we can use the slope and point to find the equation.

y - y1 = m(x - x1)

y - 8 = 8(x + 2)

y - 8 = 8x + 18

y = 8x + 26

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The last option is the answer
8 0
3 years ago
Need help for question 8 and 9. I need the equation that’s passes through the points!
dsp73

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = \frac{y_2-y_1}{x_2-x_1}

For two points (1, 4) and (5, 8),

m = \frac{8-4}{5-1}

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = \frac{y_2-y_1}{x_2-x_1}

For two points (2, 10) and (6, 4)

m = \frac{10-4}{2-6}

m = -\frac{3}{2}

By substituting the value of 'm' in the equation,

y = -\frac{3}{2}x+b

Since, this line passes through (2, 10)

10 = -\frac{3}{2}(2)+b

b = 10 + 2

b = 12

Therefore, equation of the line will be,

y=-\frac{3}{2}x+12

4 0
3 years ago
How many 0.5cm x 0.5 cm x 0.5cm cubes are needed to completely fill the rectangular prism measuring 4 cm x 3 cm x 3cm?mp
Juliette [100K]

Answer:

288

Step-by-step explanation:

The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.

Now, you just divide 36 by 0.125, which is 288.

I hope this helped.

6 0
3 years ago
Julio is 36 years old, and James is 11 years old. In how many years will Julio’s age be twice a many as James’s age?
boyakko [2]

Answer:

in 14 years Julio will be 50 and James will be 25

6 0
4 years ago
Solve the equation to find the value of x.<br> 2(x+3)=18<br> Enter your answer in the box<br> x= __
Yuki888 [10]
2(x + 3) = 18
2x + 6 = 18
      - 6 = 
2x = 12
Divide 2
x = 6

7 0
3 years ago
Read 2 more answers
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