Answer:
The answer is: y = 3x - 11
Step-by-step explanation:
Given points (2, 3) and (4, 9), find the slope of line k:
m = (y - y1)/(x - x1)
m = (3 - 9)/(2 - 4)
m = -6/-2 = 6/2 = 3
A parallel line has the same slope and passes through a given point. Use the point slope form of the equation and point (4, 1):
y - y1 = m(x - x1)
y - 1 = 3(x - 4)
y - 1 = 3x - 12
y = 3x - 12 + 1
y = 3x - 11
Proof using point (4, 1):
f(4) = 3(4) - 11
= 12 - 11 = 1, giving point (4, 1)
Hope this helps! Have an Awesome day!! :-)
