Question

Write an equation in point-slope form for the line through the given point with the given slope.

(-4,6); m=3/4

a. y-6=3/4x+4
b. y-6=3/4(x-4)
c. y-6=3/4(x+4)
d. y+6=3/4(x+4)

I am unaware of what the answer could be to this problem and help will be very appreciated. Thank you!

Answer 1

given a point (a,b) and the slope of the line of m,
the equation in the form required is:

y - b = m(x - a)

now which of the given equations fits that pattern ?

Answer 2

going right and up from the point (-4,6)
y-6 = (3/4)(x - -4)
or
y-6 =(3/4)(x+4)