Question

Write the equation of each line using the given information.
the points (-4,1) and (2,4) both lie on the line.
m=-1 and the point (2,-1) lies on the line
it has the same slope as y=5 and passes through (1,1)
m=-3 and it has a y intercept of (0,8)

Answer 1

I am not going to do them all for you.
the first is:
slope = (4-1)/ (2+4) = 3/6 = .5
put in a point
.5 = (y-1)/(x+4)
.5 x + 2 = y -1
y = .5 x + 3
2 y = x + 6
============ the end
check
----------------------------
other point (2,4)
2 ? = 2+6
2 ? = 8
? = 4 sure enough

Answer 2

by the way
it has the same slope as y=5 and passes through (1,1)
trick, slope is zero, horizontal line y = 1