Respuesta :

Answer:

It is y = -4x + 9

Step-by-step explanation:

General equation of a line:

[tex]y = mx + c[/tex]

For a y-intercept, c :

consider point (2, 1):

y is 1, x is 2 and m is -4

[tex]y = mx + c \\ 1 = (2 \times - 4) + c \\ 1 = - 8 + c \\ c = 1 + 8 \\ c = 9[/tex]

therefore, equation is:

[tex]y = - 4x + 9[/tex]

fichoh

The complete form of the equation is y = - 4x + 9

The slope intercept form of the line is given as:

y = - 4x + c

Where c = intercept , we need to calculate, c

Take any given value of y and x and substitute into the equation, the solve for c

Take x = 1, y = 5

5 = - 4(1) + c

5 = - 4 + c

Add 4 to both sides

5 + 4 = - 4 + c + 4

9 = c

Hence, the complete form of the equation is y = - 4x + 9

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