Question

Which of the following is not the equation of the graphed line?

Answer 1

Answer:

well, we do not have the options here, but we can find the equation of the graph, so the equations that are different from that are the answer to this question:

in the graph, we can see that it goes through the points:

(0,1) and (2,0)

Remember that the slope of a line that goes through the points (x1, y1) and (x2, y2) is:

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

then the slope for our line is:

s = (0 - 1)/(2 -0) = -1/2

Then our line is:

y = -(1/2)*x + b.

b is the y-intercept, and we know that when x = 0 y = 1, then:

1 = -(1/2)*0 + b

1 = b

then the equation is:

y = -(1/2)*x + 1