Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
y-intercept is a point at which the graph intersect at y-axis.
Notice that the graph cross y-axis at y=-5.
So, b= -5.
Formula to find the slope of a line is:
[tex] m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
We can take any two points from the graph . So, let's take (0, -5) and (6, -2).
Next step is to plug in the values in the above formula x1= 0, y1=-5, x2=6 and y2=-2.
m=[tex] \frac{-2-(-5)}{6-0} [/tex]
=[tex] \frac{-2+5}{6} [/tex]
=[tex] \frac{3}{6} [/tex]
=1/2
=0.5
So, the slope-intercept form of the given graph is y= 0.5x-5.
