Question 78796

There are several questions here.  I will answer the first one and ask you to post the rest separately or solve them using the technique used in the first one.

Write an equation in slope-intercept form of a line with the following characteristics:parallel to the graph of:x+y=6 and passes through (1,-4)

The slope-intercept form is:  y = mx + b   m is the slope, b is the intercept

The graph of x+y=6 has slope -1 
because y changes by -1 if x changes by 1
or it is tilted like this:  \
and the equation is: y = -1x + 6   slope is -1

Your equation is y=-1x + b  because m is -1
Parallel lines have the same slope.

The point (1,-4) is on the line

Plug in x=1, y = -4 and find b
-4 = -1*1 + b
-4 = -1 + b
-3 = b
b= -3

m=-1 and b=-3
y = -x -3