Write an equation for the line that passes through the two points:
(4,3), (6, -3)

y= -3x+15.

Step-by-step explanation:

To solve this equation, we first need to calculate the slope of the equation:

m= m= m= -3.

Now, we can simply plug in our slope value into our line equation (y= mx+b) with one of the point listed to find our b value.

3= -3(4)+b

3= -12+b

15=b

Finally, the equation we get is:

y= -3x+15

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

step-by-step explanation:

duck you