write the equation of the line in slope-intercept form given the slope and the coordinates of the y-intercept

Question

m = 3/7;(0, 8/3)

find an equation of the line described below. write the equation in slope-intercept form (solved for y) when possible.
through (6, 4) and (4, 6)

find an equation of the line described below. write the equation in slope-intercept form (solved for y) when possible.
With undefined slope, through (1/4, 5)

Answer 1

1. you are given the slope and the y-intercept.
You are asked to write the equation in slope intercept form
You know that form is y = mx + b
so just replace m and b

2. first find the slope:
slope = (6-4)/(4-6) = 2/-2 = -1
so you must have:
y = -x + b
sub in the point (4,6) , or (6,4) if you feel like it
with (4,6)
6 = -(4) + b
b = 10
your equation is y = -x + 10

3. All vertical lines have equation x = ???
look at your given point, the x value is 1/4

so your equation is y = 1/4

Answer 2

#3: x = 1/4