Respuesta :

Answer:

The equation is y = (3/7)x - 7.

Step-by-step explanation:

Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

[tex]y = mx + b[/tex]

[tex]let \: m = \frac{3}{7} ,x = 7,y = - 4[/tex]

[tex] - 4 = \frac{3}{7} (7) + b[/tex]

[tex] - 4 = 3 + b[/tex]

[tex] - 4 - 3 = b[/tex]

[tex]b = - 7[/tex]