Answer:
Okay so I’m gonna do a few and list a few examples
In slope intercept form its
y=mx+b
Y= Random Y coordinate (Not that important for now while writing)
m= Slope
X= random x coordinate (not that important for now while writing)
b= Y intercept
SO basically plug it in like that so for the first one
the slope is 1/3 and y-intercept is -1
so
y=1/3x-1
And thats how you do it
leave the y and x
Graphing
So for graphing or fining the equation, first identify the y-intercept
The y-intercept is on the y axis (obviously), and its the number where the line first hits, so for the first one, the y intercept is 3 becuase thats where the first line meets on the Y axis. When identified start doing rise over run, lik just go up and right, if there is no space, dot he opposite, go down and go left or right (depends if the line is rising or falling, you can tell if rising (positive) if the line goes from down to up form left to right , if falling (negative) vice versa, up to down from left to right). And just write the equation after identifying the slope And y-intercept, the x and y don’t matter.
4) y= -1/3x+3 (watch your signs, if falling the slope is automatically negative)
5) y=1/2x+1
6) y=4x-5 (negative y-intercept due to the part where the y meets up with the line, its in the negative side)
(remember to write these equations on the top side of the line