Question

a line passes through (-4,7) and has a slope of -5/4 write an equation in slope intercept for this line

Answer 1

y=mx+b

y=7   m=-5/4   x=-4    b=?

7=-5/4(-4)+b

7=5+b

7-5=5-5+b

b=2

Therefore, the equation is y=-5/4x+2

That's it.

Answer 2

y - y₁ = m(x - x₁)
y - 7 = -1¹/₄(x - (-4))
y - 7 = -1¹/₄(x + 4)
y - 7 = -1¹/₄(x) - 1¹/₄(4)
y - 7 = -1¹/₄x - 5
  + 7              + 7
     y = -1¹/₄x + 2