Respuesta :
So the equation of a line is y=mx+b
Now substitute what you know
4 = -5 * -7 +b
4 = 35+b
b=-31
So the equation is:
y = -7x - 31
y = - 7x - 31
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - 7
y = - 7x + c ← is the partial equation
to find c substitute (- 5, 4 ) into the partial equation
4 = 35 + c ⇒ c = 4 - 35 = - 31
y = - 7x - 31 ← equation in slope-intercept form