Answer: the equation is y = - 3x + 14
Explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the straight line.
The slope of the given line is - 3 and it contains the point (4, 2)
To determine the y intercept, we would substitute m = - 3, x = 4 and
y = 2 into y = mx + c. It becomes
2 = - 3 × 4 + c
2 = - 12 + c
c = 12 + 2
c = 14
The equation becomes
y = - 3x + 14