All categories

3 years ago

Which equation represents a line that has a slope of 1/3 and passes through point -2, one

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

8 0

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

1= -2/3 + B

+2/3 +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3 check: 1=1/3(-2) +5/3

1 =1

Komok [63]3 years ago

8 0

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since we know the slope and one point, we can solve for the y-intercept.

y = 1/3x + b

1 = 1/3(2) + b

1 = 2/3 + b

1 - 2/3 = 2/3 - 2/3 + b

1/3 = b

Now, put the final equation together.

y = 1/3x + 1/3

Best of Luck!

You might be interested in

∠K and ∠L are complementary angles. If m∠K = 3x + 3 and m∠L = 10x – 4, find the measures of both angles.

Oduvanchick [21]

Answer:

∠K =24

∠L =66

Step-by-step explanation:

first you need to find X in order to solve.

since they are Complementary they add together to equal 90 degrees

so we can set them equal to 90

13x-1=90

13x=91

x=7

now we can plug them in!

---

∠K = 3(7)+3 = 24

∠L =10(7)-4=66

4 0

3 years ago

A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa

tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= $^{13}C_{6}$

= $\frac{13!}{(6!)(13-6)!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}$

= $\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}$

= $\frac{1235520}{720}$

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0

3 years ago

If x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the

denpristay [2]

Answer:

discriminant is zero (0)

Step-by-step explanation:

Actually, you have a double root here: {6, 6}: "two real, equal roots." That tells us immediately that the value of the discriminant was zero (0).

3 0

3 years ago

Read 2 more answers

What the answer now question

Dmitry_Shevchenko [17]

Answer:94.2 m

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

DedPeter [7]

Answer:

The solution is (3/8, -7/8).

Step-by-step explanation:

y = −5x + 1

y = 3x − 2

Since the 2 expressions in x are both equal to y :

−5x + 1 = 3x - 2

-5x - 3x = -2 - 1

-8x = -3

x = 3/8.

So y = 3x - 2

= 3(3/8) - 2

= 9/8 - 2 = -7/8.

6 0

3 years ago