Answer:
y = 0.25x
Step-by-step explanation:
remember the formula for the slope
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
so substitute in two pairs to find the slope
for this problem, let's use the first two give
( -4, -1 )
( 0, 0 )
[tex]x_{1}[/tex] = -4
[tex]y_{1}[/tex] = -1
[tex]x_{2}[/tex] = 0
[tex]y_{2}[/tex] = 0
so now substitute
( 0 - - 1) / ( 0 - - 4)
= 1/4
now the equation of a line is
y = mx + b
where (m) is the slope, and (b) is the y-intercept, but since this line passes through the origin (0, 0) there will be no y-intercept so the equation of the line is
y = 1/4 x
or
y = 0.25x
