ANSWER:
Point slope form of the line is y + 2 = -7x - 28
SOLUTION:
Given that, slope of a line is -7 and that line passes through the point p(-4, -2).
We need to write the point – slope form of that line.
Point – slope form of a general line equation is [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex] --- eqn 1
Where, m is the slope of the line
[tex]y_{1}[/tex] is the y co-ordinate of a point through which the given line passes.
[tex]x_{1}[/tex] is the x co-ordinate of a point through which the given line passes.
Now, from the given information , slope (m) = -7 , y co-ordinate ([tex]y_{1}[/tex])= -2, x co-ordinate ([tex]x_{1}[/tex])= -4
substituting in eqn 1, we get
y – (-2) = (-7)(x – (-4))
y + 2 = (-7)(x + 4)
y + 2 = -7x - 28
hence, the point slope form of the line is y + 2 = -7x - 28
