Question

Given (-3, 1) and (3,-3). The slope of the line is _______ . The equation of the line is ___________ .

Answer 1

Answer:

-2/3

y= -2/3x-1

Step-by-step explanation:

Slope is found from

m = (y2-y1)/(x2-x1)

    = (-3-1)/(3--3)

    = -4/(3+3)

   = -4/6

   = -2/3

The equation of the line can be found by using point slope form

y-y1=m(x-x1)

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

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

Distribute the -2/3

y-1 = -2/3x -2

Add 1 to each side

y-1+1 = -2/3x-2+1

y = -2/3x-1

Answer 2

Answer:

-2/3

y=-2/3 x -1

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-1}{3--3}=\frac{-4}{3+3}=\frac{-4}{6}=\frac{-2}{3}$

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y-1)=-2/3(x--3)  

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

y=-2/3 x -6/3 +1

y=-2/3 x -1