Answer:
![\large{ \tt{❃ \: EXPLANATION}} :](https://img.qammunity.org/2022/formulas/mathematics/high-school/s36f53j63fuwtiuato31v2zqoobm34qc64.png)
- We're provided : Slope of straight line ( m ) = 12 & y - intercept ( c ) = - 5 and We're asked to find out the equation for this straight line.
- You'll have to know : Equation of straight line in slope intercept form : y = mx + c where m is the slope & c is the y-intercept.
![\large{ \tt{❁ \: LET'S \: START}} :](https://img.qammunity.org/2022/formulas/mathematics/high-school/v2zn4pw73vbgdrd79qh4h5lk7r669wop7y.png)
- Using Slope - intercept form of equation of straight line :
![\boxed{ \large{ \tt{❈ \: y = mx + c}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/v48faczujnuv2ggf3zfrnz9onvkadh67y2.png)
- Plug the values :
![\large{ \tt{↬y = 12x + ( - 5)}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/k4mc7414k6ozs15qtx6ez5fsqcbff5hjp4.png)
![\large{ \tt{↬ \: y = 12x - 5}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/3cvsazqr4f2wk3z0aipsl9uxiq6kss0atb.png)
![↬\large{\tt{12x - 5 = y}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/sqbhe9r8ghe6mr66img6qh4koqxehedgzc.png)
![↬ \large{ \boxed{ \bold{ \tt{12x - y - 5 = 0}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/9wnezk3c9n4ebgt4imaw8r9zpna3saqrjg.png)
- Hence , 12x - y - 5 = 0 is the required equation.
![\tt{✺ \: STUDY \: MORE \: PROCASTINATE \: LESS !\:♪ }](https://img.qammunity.org/2022/formulas/mathematics/high-school/ol5iq7ht91qsdfimhcvxtvk72sikrqofqi.png)
۵ Hope I helped! ツ
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