Answer:
y+6=1/2(x+3)
Explanation:
Hi there!
We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)
Point-slope form is given as y-
=m(x-
) where (
,
) is a point and m is the slope
We don't know the slope of the line, so let's find it
The formula for the slope (m) calculated from two points is
, where (
,
) and (
,
) are points
We have two points, but let's label their values to avoid any confusion
=-3
=-6
=3
=-3
Now substitute into the formula (remember: the formula has SUBTRACTION)
m=
simplify
m=
m=
m=1/2
So the slope of the line is 1/2
Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)
y-
=m(x-
)
y--6=1/2(x--3)
simplify
y+6=1/2(x+3)
Hope this helps!