Question

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

Answer 1

Answer:

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-$y_{1}$=m(x-$x_{1}$) where ($x_{1}$, $y_{1}$) 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 $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$, where ($x_{1}$, $y_{1}$) and ($x_{2}$, $y_{2}$) are points

We have two points, but let's label their values to avoid any confusion

$x_{1}$=-3

$y_{1}$=-6

$x_{2}$=3

$y_{2}$=-3

Now substitute into the formula (remember: the formula has SUBTRACTION)

m=$\frac{-3--6}{3--3}$

simplify

m=$\frac{-3+6}{3+3}$

m=$\frac{3}{6}$

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-$y_{1}$=m(x-$x_{1}$)

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

simplify

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

Hope this helps!