Respuesta :

Answer:

• The general equation of a line:

[tex]{ \rm{y = mx + c}}[/tex]

  • m is a slope
  • c is a y-intercept

• Therefore;

[tex]{ \rm{y = \frac{3}{7} x + c}} \\ [/tex]

• considering the point (3, -2)

[tex]{ \rm{ - 2 = (\frac{3}{7} \times 3 ) + c}} \\ \\ { \rm{c = - \frac{23}{7} }}[/tex]

• The equation of the line is;

[tex]{ \boxed{ \boxed{ \rm{ \: \: y = \frac{3}{7} x - \frac{23}{7} }}}} \: \: or \: \: { \boxed{ \boxed{ \rm{ \: 7y = 3x - 23 \: }}}}[/tex]