What point slope form equation could be produced with the points(-3,-6)and (3,-3)

y+6=1/2(x+3)

Step-by-step 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!

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