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amm1812
3 years ago
9

NEED QUICKLY Write the equation of the line shown below?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

y = x + 2

Step-by-step 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

Sedbober [7]3 years ago
7 0

Answer:

Equation  is : y = x + 2

Step-by-step 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 = \frac{y_2 - y_1}{x_2 - x_1}                 [ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2  ) = ( -4, -2 ) \ ]

         m = \frac{-2-4}{-4-2}\\\\ = \frac{-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

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