Tell whether the lines are parallel, perpendicular, or neither.
the line through (-3, 2) and (4, 6) and the line through (-5, 7) and (-9, 14)

perpendicular

Step-by-step explanation:

We only need the slope for this question. When we write in point-slope form, we can get the slope easily.

2-6 / -3-4 = -4 / -7 = 4/7 #The 1st line of slope

7-14 / -5-(-9) = -7 / 4 = -7/4 # The 2nd line of slope

So we can notice that the 1st slope is "upside down" and positive turns negative. So these lines are perpendicular.

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17