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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]