Respuesta :

ferwo814

Answer:

the slope intercept form of this line is y = -4x + 9.

Step-by-step explanation:

The equation of line is given by:

y = mx + b          .....[1]

where,

m is the slope of line

b is the y-intercept.

As per the statement:

Given: The rate of change = -4

Substitute in [1] we have;

y = -4x + b

Substitute the values of  any (x, y) from the given table.

Let x = -1 and y = 13

then;

13 = -4(1-)+b

⇒13 = 4+b

Subtract 4 from both sides we have;

9 = b

or

b = 9

⇒the equation become, y = -4x+9

Therefore, the slope-intercept form of this line is,  y = -4x+9

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