The equation of the line graphed is y = 3/5 x + 1
How to find the equation
To find the equation of the line graphed passing through the points (0,1) and (5, 4), we use the slope-intercept form of a linear equation:
y = mx + b
where
m is the slope and b is the y-intercept.
m = (4 - 1) / (5 - 0)
m = 3/5
Using (0, 1) we find the y-intercept b as 1
y = 3/5 x + 1
therefore, the equation of the line graphed is y = 3/5 x + 1