Answer:
y = (-4/7)x + 5
Step-by-step explanation:
We want the equation of a line in slope-intercept form y = mx + b.
Knowing that m = -4/7, we write y = (-4/7)x + b.
We know this line passes through (14, 3) and thus can substitute 14 for x and 3 for y in the above equation, obtaining:
3 = (-4/7)(14) + b
Solving for the y-intercept, b, we get
3 = -4(-2) + b, or
b = 5
Thus the desired equation is y = (-4/7)x + 5.
