Answer: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
