Answer:
y = -1/4x + 2.5
or
y = -1/4x + 5/2
Step-by-step explanation:
First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.
1 = -1/4(6) + b
1 = -6/4 + b
4/4 + 6/4 = 10/4
10/4 = b
simplify: 5/2 or 2.5 = b
Now we have our y-intercept, so we can complete our equation.
y = -1/4x + 2.5
or
y = -1/4x + 5/2
I can use a chart by numbers them on the chart because I think 4 should be after the 3
-(z + (-17)) = 12 + 17
-(z - 17) = 12 + 17
Distribute -1:
-z + 17 = 12 + 17
Subtract 17 to both sides:
-z = 12
Multiply -1 to both sides:
z = -12
