Respuesta :

Answer:y=-4 x=1.

Step-by-step explanation:

Answer:

• Let the equation be :

[tex]→ \: { \boxed{ \tt{y = mx + b}}}[/tex]

• when x is 0, y is -6. So let's substitute:

[tex]→ \: { \tt{ - 6 = (m \times 0) + b}} \\ \\ → \: { \tt{b = - 6}}[/tex]

• Therefore, equation becomes;

[tex]→ \: { \boxed{ \tt{y = mx - 6}}}[/tex]

• when x is 1, y is -10. So let's substitute:

[tex]→ \: { \tt{ - 10 = (m \times 1) - 6}} \\ \\ → \: { \tt{ - 10 = m - 6}} \\ \\→ \: { \tt{m = - 4}} [/tex]

• Therefore final relation becomes:

[tex]→ \: { \boxed{ \boxed{ \bf{y = - 4x - 6}}}}[/tex]