All categories

2 years ago

What is the equation of the line with a slope of 3/4 that goes through the point (4,1) in slope-intercept form ?

Mathematics

1 answer:

max2010maxim [7]2 years ago

8 0

The slope-point form of a line:

$y-y_0=m(x-x_0)$

We have

$m=\dfrac{3}{4}\\\\(4,\ 1)\to x_0=4,\ y_0=1$

Substitute:

$y-1=\dfrac{3}{4}(x-4)$

The slope-intercept form:

$y=mx+b$

Solve for y:

$y-1=\dfrac{3}{4}(x-4)\qquad|\text{use distributive property}\\\\y-1=\dfrac{3}{4}x-3\qquad|\text{add 1 to both sides}\\\\y=\dfrac{3}{4}x-2$

Answer: D.

You might be interested in

For the partially complete factorization, find the other binomial which will complete the factorization n^2-8n-20=(n+2)(_____)

Otrada [13]

Answer:

(n-10)

Step-by-step explanation:

Jdjdjdhbejdudjkdff

8 0

2 years ago

a family of two adults and four children is going to and an amusement park. admission is 421.75 for adults and $15.25 for childr

MAXImum [283]

421.75
2
_____
843.50
+

15.25
4
____
61.00

843.50
+ 61.00
_______
904.50

7 0

2 years ago

Find the area of the shape below.

m_a_m_a [10]

Answer:

$A_{shape}=A_{triangle}+A_{square}\\\\A_{shape}=(\frac{bh}{2}+s^2)\ units^2$

Step-by-step explanation:

I assume that it is a composed figure formed by a triangle and a square.Since you did not give the dimensions of the triangle and the dimensions of the square, I will giveyou a general explanation about how to solve this exercise.

The area of the shape will be the sum of the the area of the square and the area of the triangle.

Then, you need to remember that the area of a triangle can be calculated with the following formula:

$A_{triangle}=\frac{bh}{2}$

Where "b" is the base and "h" is the height.

And the area of a square can be found with this formula:

$A_{square}=s^2$

Where "s" is the length of any side of the square.

Therefore, the area of the shape will be

$A_{shape}=A_{triangle}+A_{square}\\\\A_{shape}=(\frac{bh}{2}+s^2)\ units^2$

3 0

2 years ago

a group of four students is performing an experiment with salt. each student must add three eights teaspoon of salt to a solutio

vladimir1956 [14]

<em>3/8 divided by 1/8 = 3</em> Each student must fill the tablespoon 3 times
<em>3 times 4 = 12 </em>Multiplied by four (because there are 4 students) to get total number of times needed to fill the measuring spoon

The group must fill the 1/8 tsp 12 times in order to perform the expirement

4 0

3 years ago

Mrs.Perez was looking at her back account statement. She noticed that her beginning balance was $500, and she added nothing to h

In-s [12.5K]

Answer:

0 because she spends it on nothing

8 0

2 years ago