<span>To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b) . ... Therefore, the equation for this line is y = - x + 2 .</span>
Answer:
Option C is the answer.
Step-by-step explanation:
To find the equation of the straight line equation i.e, we must be given with the two points
and 
Since from the graph the two points closest to the line are
and 
Equation of line with two points closest to the line :

where m is the slope.
First we find the slope(m)=

on simplify we get,
.
Now, to find the equation of the line: 

Apply distributive property on right hand side, we get
Adding both sides by 36, we get

.
The equation for the linear model in the scatter plot obtained by the two closest point
closest to the line is,

For a sum of a number t and 23
t plus 23
Helen runs the longest distance in 4 days.
Helen (In 4 days): 2.75 x 4 = 11
Bill (In 4 days): 10
11 (Helen) > 10 (Bill), so therefore Helen runs the longest distance in 4 days.