Question

Calculate the slope of the line through the points (6,-8) and (3,-4)

Answer 1

Answer:

a. y=-4/3 x

b. Yes because the point makes the equation true.

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:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4--8}{3-6}=\frac{-4+8}{-3}=\frac{4}{-3}=\frac{-4}{3}$

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--4)=-4/3(x-3)  

y+4=-4/3(x-3)

y+4=-4/3x +4

y=-4/3x

Test (-3,4): 4= -4/3 (-3)

                 4=4 Yes