1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
2 years ago
8

Work out the equation of a line which has a gradient of 2 and passes through the line (1, 4).

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
3 0

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

We have given that,

A line that has a gradient of 2 and passes through the line (1, 4).

We have to determine the equation of the line,

<h3>What is the gradient?</h3>

The gradient also known as the slope is the defined as

Gradient (m) = change in y coordinate / change in x coordinate

The equation of a line passing through a given point is given by the following equation

y – y₁ = m(x – x₁)

How to determine the equation of the line passing through point (1,4)

x coordinate (x₁) = 1

y coordinate (y₁) = 4

Gradient (m) = 2

Equation =

y – y₁ = m(x – x₁)

y – 4 = 2(x – 1)

Clear bracket

y – 4 = 2x – 2

Make y the subject by adding 4 to both sides

y – 4 + 4 = 2x – 2 + 4

y = 2x + 2

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

To learn more about the line visit:

brainly.com/question/5396646

#SPJ1

You might be interested in
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?<br> BB<br> -2<br> 2
Svetlanka [38]

Answer:

-2

Step-by-step explanation:

if x=- 2  then f(x)=(-2-5)3(-2+2)=0

so x=-2 is correct

3 0
3 years ago
List 3 values that would make this inequality true 43 &lt; y -30
prohojiy [21]
43 < y - 30
add 30 to both sides
73 < y

y can be anything that is greater than 73
so it could be...
101, 74, 90, 75, 980767, 5674, etc.

Hope this helps!
4 0
3 years ago
Suppose that the function f is defined. , for all real numbers, as follows.
aivan3 [116]

Answer:   <em>The values of......</em>

<em>f(-5)=\frac{9}{4}\\ \\ f(-2)= -1\\ \\ f(4)=0</em>

Step-by-step explanation:

Given function is:   \left \{ {{f(x)= \frac{1}{4}x^2 -4, if x\neq -2} \atop {=-1, if x=-2}} \right.

For f(-5),  the value of x is -5, which is not equal to -2.

So,  f(-5)= \frac{1}{4}(-5)^2 -4 = \frac{1}{4}(25)-4 =\frac{25}{4}-4=\frac{25-16}{4}=\frac{9}{4}

For f(-2),  the value of x is -2.

So,  f(-2)= -1

For f(4),  the value of x is 4, which is not equal to -2.

So,  f(4)=\frac{1}{4}(4)^2 -4 =\frac{1}{4}(16)-4 =4-4=0

5 0
3 years ago
Need help with math probelm if do 5 stars
kumpel [21]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?
Lina20 [59]
-3(y+2)^2-5+6y
-3(y^2+4y+4)-5+6y
-3y^2-12y-12-5+6y
-3y^2-6y-17
8 0
3 years ago
Other questions:
  • Craig just finished reading 120 pages of his history assignment if the assignment is 125 Pages what percent has Craig read so fa
    10·1 answer
  • Ann and betty shared the sum of money in the ratio 2:3, if ann received $60 less than betty, what was the total sum of money sha
    12·2 answers
  • Can somebody help me-
    15·2 answers
  • What number is .4 percent of 82.1
    13·2 answers
  • What is the inverse of the function??
    9·1 answer
  • a bag contains 23 red marbles 25 green marbles and 18 blue marbles you choose a marble at random from the bag what color of marb
    12·2 answers
  • What is the area, in square inches, of the trapezoid below? 15.7 in 8 in 6.6 in​
    13·1 answer
  • For every 2 boys in the class, there are 3 girls.
    15·2 answers
  • 21(2-y)+12y=44 find y​
    9·2 answers
  • (#4) which IS NOT a linear equation?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!