Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
step 1
Find the slope
Take two points from the graph
see the attached figure
about (37,40) and (47,50)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{50-40}{47-37}[/tex]
[tex]m=\frac{10}{10}=1[/tex]
step 2
Find the y-intercept
we have
[tex]m=1\\point\ (37,40)[/tex]
substitute in the linear equation
[tex]40=(1)(37)+b[/tex]
solve for b
[tex]b=3[/tex]
therefore
The linear equation is
[tex]y=x+3[/tex]
