Answer:
y = -1/5x + 24/5
Step-by-step explanation:
in order to get an equation of a line :
Get the gradient :
which is (y2-y1)/(x2-x1)
= 9-11 / 7- -3
= -2/10
gradient = -1/5
Get the midpoint :
which is (x1 + x2)/2 , (y1+y2) / 2
= 11+7 = 18/2 = 9
= -3 + 9 = 6/2 = 3
midpoint = (9,3)
now create the equation using the formula
Y1 - y = m(x1 - x)
where m is the gradient
now place the midpoint values in the equation
y- 3 = -1/5 (x-9)
y - 3 = -1/5x +9/5
y=-1/5x + 9/5 +3
y = -1/5x + 24/5
