Question

Write an equation in point- slope form of the line that passes through the point (7 , -4) and has a slope of m = -6

Answer 1

The equation of the line that passes through (7,-4) and has slope of -6 is;

`y+4=-6(x-7)`

Step-by-step explanation:

We want to write the given equation in point-slope for.

Given that the line passes through the point (7,-4) and ahas a slope of m = -6.

The general form of point slope equation of line is;

`y-y_1=m(x-x_1)`

substituting the given point and the slope, we have;

`\begin{gathered} y-(-4)=-6(x-7) \\ y+4=-6(x-7) \end{gathered}`

Therefore, the equation of the line that passes through (7,-4) and has slope of -6 is;

`y+4=-6(x-7)`