120k views
0 votes
NEED QUICKLY
Write the equation of the line shown below?

NEED QUICKLY Write the equation of the line shown below?-example-1
User GDorn
by
7.8k points

2 Answers

3 votes

y = x + 2

Explanation:

General formula for any straight line:

y = mx + c

Where

m = gradient

c = constant

m = y2 - y1/x2 - x1

m = (4 - ( -2))/(2 - ( -4))

m = 6/6

m = 1

y = (1)x + c

y = x + c

Substitute any coordinate from the line of the equation.

4 = 2 + c

c = 2

substitute m and c into general formula

y = mx + c

y = x + 2

User GirishK
by
7.8k points
3 votes

Answer:

Equation is : y = x + 2

Explanation:

To find the equation of the we need two points through which the line passes.

Let it be (2 , 4) and ( -4 , - 2)

The standard equation of line is : y = mx + b , where m is the slope, b is the

y-intercept.

Step 1 : Find the slope, m


slope , m = (y_2 - y_1)/(x_2 - x_1)
[ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2 ) = ( -4, -2 ) \ ]


m = (-2-4)/(-4-2)\\\\ = (-6)/(-6)\\\\ = 1

Step 2 : Find the equation of the line.


( y - y_1) = m(x- x_1)\\\\(y - 4) = 1 ( x - 2)\\\\y - 4 = x - 2 \\\\y = x - 2 + 4 \\\\y = x + 2

User Nexen
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories