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3 years ago

A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept

Mathematics

1 answer:

alexandr402 [8]3 years ago

8 0

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope = (change in y)(change in x)

Slope = (6 - 5)/(3 - 0)

Slope = 1/3

Substitute m = 1/3 and one given ordered pair into y = mx + b. using (3, 6)

y = mx+ b

6 = 1/3(3) + b

6 = 1 + b

5 = b

the equation is y = 1/3x + 5

You might be interested in

What is 5/6 of 11/12 ?

gulaghasi [49]

Answer:

55/72

Step-by-step explanation:

5/6 of 11/12

= 5/6 x 11/12

=55/72

8 0

3 years ago

Read 2 more answers

The ratio of adams height to sam's height is 4:3 how many times sam's height is adams height

Levart [38]

The <span>ratio of adam's height to sam's height is 4:3. Therefore, Sam's height is 3/4 of adam's height. This is done by applying rules on ratios. We do as follows:

4 / 3 = adam's height / sam's height
sam's height = (3/4) adam's height

Hope this answers the question. Have a nice day.</span>

4 0

4 years ago

Read 2 more answers

The partial factorization of x2 – x – 12 is modeled with algebra tiles.

garik1379 [7]

Answer:

x² – x – 12 = (x – 4)(x + 3)

Step-by-step explanation:

Identify two numbers that add to -1 and multiply to -12, let's call them p and q.

So ax² + bx + c = (x + p)(x + q)

pq = c

p + q = b.

It is easier to find these numbers by finding factors of -12.

This can be done by splitting the number up until all the numbers are prime.

-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)

There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.

We can eliminate them by adding them up.

6 + -2 = 4 ≠ -1 so that can't be it.

-6 + 2 = -4 ≠ -1 so that can't be it either.

-3 + 4 = 1 ≠ -1

therefore p and q are 3 and -4 because 3 + -4 = -1.

so x² – x – 12 = (x – 4)(x + 3)

p = -4, and q = 3.

(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12

7 0

3 years ago

Someone help me!

Delvig [45]

11/8 = x / 3

cross multiply

8x = 11 * 3

8x = 33

x =33/8

x = 4.125

x = 4.1 (round to nearest tenth)

Answer

B: 4.1 ft

6 0

3 years ago

Solve for a.

tamaranim1 [39]

The correct answer is: [C]: " a = ± $\sqrt{25 - b^2}$ " .
<span>___________________________________________________________
Explanation:
_________________________________________________________
We are given:
_________________________________________________________
   </span>→ " 25 = a² + b² " ; Solve for "a" ;
_________________________________________________________

→ To solve for "a" ; we want to isolate "a" on one side of the equation.
_________________________________________________________
We can rewrite: " 25 = a² + b² " ;

as: " a² + b² = 25 " .

_________________________________________________________
Then, we can subtract " b² " from each side of the equation; as follows:
_________________________________________________________

→ " a² + b² − b² = 25 − b² " ;

to get:
_________________________________________________________
→ " a² = 25 − b² " ;
_________________________________________________________
→ Now, take the square root of EACH SIDE of the equation ;
to isolate "a" on one side of the equation; & to solve for the value(s) of "a" ;
_________________________________________________________

→ √(a²) = $\sqrt{25 - b^2}$ ;

to get:
_____________________________________________________
  → a = | $\sqrt{25 - b^2}$ | ;

→ a = ± $\sqrt{25 - b^2}$ ;

  → which is: Answer choice: [C]: " a =  ± $\sqrt{25 - b^2}$ " .
______________________________________________________

8 0

3 years ago