The line of best fit for a scatter plot is shown below: a scatter plot and line of best fit are shown. data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. a line of best fit passes through the y-axis at 1 and through the point 4 and 3. what is the equation of this line of best fit in slope-intercept form? y = 1x + one half y = one halfx + 1 y = 1x − one half y = negative one halfx + 1

For this case we have that the trend line goes through the following points:
 "A line of best fit passes through the y-axis at 1 and through the point 4 and 3"
 That is, it goes through:
 (0, 1)
 (4, 3)
 The equation of the line is:
 
 Where,
 
 The slope is:
 
 Substituting values:

  
 The equation of this line of best fit in slope-intercept form is:
 y = one halfx + 1

Idk i am in 5th grade lol

and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

.

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .