Write the equation of the line that passes through (2,3),(0,9)

Mathematics

1 answer:

Nikitich [7]2 years ago

7 0

Answer:

y = -3x + 9

Step-by-step explanation:

The equation of a line is

y = mx + c

Step 1: find the slope

Two points given

( 2 , 3) ( 0 , 9)

m = y2 - y1 / x2 - x1

x1 = 2

y1 = 3

x2 = 0

y2 = 9

m = 9 - 3 / 0 - 2

m = 6/ -2

= -3

Step 2 : substitute any of the two points given into the equation of a line

y = mx + c

m = -3

y = -3x + c

( 2 , 3)

x = 2

y = 3

3 = -3(2) + c

3 = -6 + c

c = 3 + 6

c = 9

y = -3x + 9

The equation of the line is

y = -3x + 9

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