Answer:
Part 1) The equation in slope intercept form is [tex]y=4x-8[/tex]
Step-by-step explanation:
Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)
we know that
The equation of a line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]b=-8[/tex]
[tex]point\ (3,4)[/tex]
substitute
[tex]4=m(3)-8[/tex]
solve for m
[tex]4+8=3m[/tex]
[tex]3m=12[/tex]
[tex]m=4[/tex]
therefore
[tex]y=4x-8[/tex]