In this problem
we have a linear equation
Find out the equation of the given line
we need two points
looking at the graph
we take
(0,-5) -----> y-intercept
(3,7)
Find out the slope
m=(7+5)/(3-0)
m=12/3
m=4
Find out the equation in slope-intercept form
y=mx+b
we have
m=4
b=-5 ----> y-intercept
substitute
y=4x-5
The answer is option b