Question

Choose the equation that represents the graph below:

Graph of a line passing through points 0 comma 4 and 3 comma 0

Answer 1

the equation of a line that passes throught he point (x1,y1) and has a slope of m is

y-y1=m(x-x1)
find slope
slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(0,4) and (3,0)
slope=(0-4)/(3-0)=-4/3

a point is (3,0)

equation is
y-0=-4/3(x-3)
in other form
y=(-4/3)x+4
in other form
4x+3y=12