![\huge\boxed{\mathcal{HELLO!:)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/i473vrcnr78fogznlmoja0ph61l43qs8lw.png)
Since we are given the slope of the line and a point that it passes through, we can easily determine the equation of the line.
First of all, we need to write it in Point-Slope Form:
![\huge\boxed{\boxed{\rm{y-y1=m(x-x1)}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2dls5pe7gthmasbnehvi5wgo1ygkujvagl.png)
Where y1 is the y-coordinate of the point, m is the slope, and x is the x-coordinate of the point.
Plug in the values and solve:
![\huge\rm{y-7=5(x-2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1oa0ybumfjphawd5x5a8unr5rqo5l48u7q.png)
![\rm{y-7=5x-10](https://img.qammunity.org/2023/formulas/mathematics/high-school/xc7w5xjmrn9n2tyu8fq4vy59awu10ejoic.png)
![\rm{y=5x-10+7}\\\rm{y=5x-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/vor7xs2auqm24rvy2wnt31kn6vlcdd46i9.png)
![\huge\boxed{\mathbb{ANSWER:{\boxed{\bold{y=5x-3}}}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/k41n9cvfbzb1zp8uzafrk32v3kurh952xn.png)
Hope it helps! Enjoy your day!
![\rm{FabulousKingdom:)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9rrnetzuw6ztythu2yb1u19eif8tovvij6.png)