Question

Look at this graph. 50 50 0 10 20 30 40 50 60 70 80 90 100 What is the equation of the line in slope-intercept form? write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

the general form of the equation is

`y=mx+b`

where m is the slope and b the y-intercept

from the graph we can notice the y-intercept is 0 because touch the y-axis on 0, so b=0

now we can repalce a point and b on the general equation to find the slope, m

i will use the point ( 90 , 30 )

so

`\begin{gathered} (30)=m(90)+0 \\ 30=90m \\ m=(30)/(90) \\ \\ m=(1)/(3) \end{gathered}`

the slope is 1/3

so the equation is

`y=(1)/(3)x`