Answer :
in point slope form
if an equation passes through the point [tex](x_1,y_1)[/tex] and has a slope of m then the equation is
[tex]y-y_1=m(x-x_1)[/tex]
we are given
[tex]y-3=\frac{1}{2}(x+4)[/tex] which can be rewritten as
[tex]y-3=\frac{1}{2}(x-(-4))[/tex]
it passes through (-4,3)
a not obvious point
when x=0
y-3=1/2(0+4)
y-3=1/2(4)
y-3=2
y=5
(0,5) isa not obvious opint
another one?
x=2
y-3=1/2(2+4)
y-3=1/2(6)
y-3=3
y=6
(2,6)
obvious point is (-4,3)
2 not obvious points are (0,5) and (2,6)
if an equation passes through the point [tex](x_1,y_1)[/tex] and has a slope of m then the equation is
[tex]y-y_1=m(x-x_1)[/tex]
we are given
[tex]y-3=\frac{1}{2}(x+4)[/tex] which can be rewritten as
[tex]y-3=\frac{1}{2}(x-(-4))[/tex]
it passes through (-4,3)
a not obvious point
when x=0
y-3=1/2(0+4)
y-3=1/2(4)
y-3=2
y=5
(0,5) isa not obvious opint
another one?
x=2
y-3=1/2(2+4)
y-3=1/2(6)
y-3=3
y=6
(2,6)
obvious point is (-4,3)
2 not obvious points are (0,5) and (2,6)