Question

Which equation represents the graphed function?

Answer 1

y = -2x + 3

in the equation y = mx + b, the m represents the slope and b represents the y-intercept

remember that slope is rise over run:

   starting from the point (1, 1) you rise 2 up and go over left 1 to reach the second point shown (0, 3).

   add a negative sign to show the negative downward slope, and the m in the equation would be -2

the y-intercept is just where the line hits the y-axis, or when the x in the ordered pair is 0. In this graph, one of the points given is (0, 3) so 3 is the y intercept

just plug all that into y = mx + b

m, the slope, is -2 and b, the y- intercept, is 3.

y = -2x + 3 is your answer