I'm assuming you're asking for an equation that, when displayed on a graph, crosses through the given point with the given slope. If not, disregard this answer.
Answer:
![y - 3 = -(5)/(7) (x + 2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/7kntdw4cq84mme1d0nppxvebxvjf3uuhu2.png)
Explanation:
To form an equation for a line when only given a point and a slope, the point-slope equation form is used. It is as follows:
, with
and
being the
and
values of the given point respectively, and
being the given slope.
Taking our given values and inserting them into the point-slope formula gives us our line equation that satisfies these values:
![y - 3 = -(5)/(7) (x + 2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/7kntdw4cq84mme1d0nppxvebxvjf3uuhu2.png)