Respuesta :

Answer:

[tex](3)\ y = -x[/tex]

[tex](5)\ y = -3x -2[/tex]

Step-by-step explanation:

Required

The equation in slope intercept form

Solving (3):

[tex]m = -1[/tex]

[tex](x_1,y_1) =(4,-4)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -1(x - 4) -4[/tex]

Expand

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

[tex]y = -x[/tex]

Solving (5):

[tex]m = -3[/tex]

[tex](x_1,y_1) = (1,-5)[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -3(x - 1) - 5[/tex]

Expand

[tex]y = -3x + 3 - 5[/tex]

[tex]y = -3x -2[/tex]