Answer:
[tex]y=10x+15[/tex]
Step-by-step 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:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 10 for m and (-4, -25) for (x₁, y₁):
[tex]\displaystyle y-(-25)=10(x-(-4))[/tex]
Simplify:
[tex]y+25=10(x+4)[/tex]
Distribute:
[tex]y+25=10x+40[/tex]
Subtract 25 from both sides:
[tex]y=10x+15[/tex]
And we have our equation.
