Answer:
y=3x-10
Step-by-step explanation:
first, we need to find the slope of line s, as that will determine the slope of line t
the formula for the slope calculated from 2 points is (y2-y1)/(x2-x1)
we can label the points for (3,4) and (2,1)
x1=3
y1=4
x2=2
y2=1
substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(1-4)/(2-3)
m=-3/-1
m=3/1
m=3
the slope of line s is 3
as said above, parallel lines have the same slope, but different y intercepts.
that means that line t will have the same slope as line s (3).
typically, lines are written in the form y=mx+b, where m is the slope and b is the y intercept
here's what is line t so far:
y=3x+b
we need to find b
because the line passes through the point (4,2), we can use it to solve for b
plug 4 in as x and 2 as y
2=3(4)+b
2=12+b
-10=b
so that means that b is -10
therefore the equation for line t is y=3x-10
Hope this helps! Good luck on your assignment!
