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
