Answer:
![y=10x+15](https://img.qammunity.org/2022/formulas/mathematics/high-school/8h0cxv9ol9yfm4gljzyb4ier8nyprud2bm.png)
Explanation:
We want the equation of a line with a slope of 10 and passes through (-4, -25).
We can use the point-slope form given by:
![y-y_1=m(x-x_1)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/vtillwnvtmv4154m1gj6eh3pnty0mf96g6.png)
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 10 for m and (-4, -25) for (x₁, y₁):
![\displaystyle y-(-25)=10(x-(-4))](https://img.qammunity.org/2022/formulas/mathematics/high-school/xfe8v9sreypfhus6ffqjtgm8h7j3o6ffn6.png)
Simplify:
![y+25=10(x+4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/myyu5t4axu3a8a1j6gllmflgfuca52ja63.png)
Distribute:
![y+25=10x+40](https://img.qammunity.org/2022/formulas/mathematics/high-school/r3qzsrgkf1wyiagr5cedjsjt4t0b2330jl.png)
Subtract 25 from both sides:
![y=10x+15](https://img.qammunity.org/2022/formulas/mathematics/high-school/8h0cxv9ol9yfm4gljzyb4ier8nyprud2bm.png)
And we have our equation.