231k views
0 votes
1. Which equation correctly represents the graph below? 30 27 24 21 15 12 6 1 2 3 4 5 6 7 8 9 10

User Juhyun
by
3.4k points

1 Answer

3 votes

the general equation of a line is


y=mx+b

where m is the slope and b the y-intercept

we can notice the y-intercept on the graph, is 12, because is the coordinate were x=0 or were the line touch the y-axis

now we need to find the slope, ussing


m=(y2-y1)/(x2-x1)

where (x2,y2) is a rigth point from (x1,y1), I can take any point of the line, for this case I will use (0,12) and (2,15)

where (2,15) is a right point from (0,12)

so, replacing


\begin{gathered} m=(15-12)/(2-0) \\ \\ m=(3)/(2) \end{gathered}

the slope is 3/2

now I can replace on the general equation ussing b=12 and m=3/2


y=(3)/(2)x+12

User Pseudosudo
by
3.9k points