garcd9112005 garcd9112005
  • 22-07-2021
  • Mathematics
contestada

here's a graph of a linear function write the equation that describes the function express it in slope-intercept form

heres a graph of a linear function write the equation that describes the function express it in slopeintercept form class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 22-07-2021

Answer:

y = 3/4 x - 3

Step-by-step explanation:

the slope of a line is the factor of x in the equation and is expressed as ratio of y/x : defining how many units y changes, when x changes a certain number of units.

in our graph here we can see that when increasing x from e.g. 0 to 4 (the x-axis intercept point, a change of +4), y changes from -3 to 0 (a change of +3).

so, the slope and factor of x is y/x = 3/4

and for x=0 we get y=-3 as y-axis intercept point.

so, the line equation is

y = 3/4 x - 3

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