405,418 views
24 votes
24 votes
Determine the equation of the line represented in the graph below. *1064-2.-202.46.-2Your answer

User Vinit Saxena
by
3.1k points

1 Answer

17 votes
17 votes

In order to determine the equation of the line, use the following genereal equation:

y - yo = m(x - xo)

where (xo,yo) is a point of the line and m is the slope, which is given by:

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

where (x1,y1) and (x2,y2) are two points of the line. Use the points (0,3) and (1,1):

m = (1 - 3)/(1 - 0)

m = -2/1

m = -2

next, replace the previous value of m and one point of the line in the general equation:. Use the point (0,3):

y - 3 = -2(x - 0)

y - 3 = -2x

next, solve for y:

y = -2x + 3

Hence, the equation of the given line is y = -2x + 3

User Jarnohenneman
by
3.1k points