Respuesta :
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - [tex]\frac{4}{7}[/tex] and (a, b) = (- 6, - 6), hence
y - (- 6) = - [tex]\frac{4}{7}[/tex] (x - (- 6) ), that is
y + 6 = - [tex]\frac{4}{7}[/tex](x + 6) ← c or d
Answer:
y + 6 = -4/7(x + 6)
Step-by-step explanation:
The point-slope form of an equation for a line that passes through a point
( a, b )with a slope m is given as;
[tex]y-a=m(x-b)[/tex]
we substitute the given values into the given equation above and simplify. Our point is given as (–6, –6) while the slope is -4/7;
[tex]y-(-6)=-\frac{4}{7}(x-(-6))\\\\y+6=-\frac{4}{7}(x+6)[/tex]
