Answer:
2. m = 1
3. y - (-1) = 5 (x - 4)
4. y = 5x - 21
Step-by-step explanation:
Work for #2
m (slope) = [tex]\frac{y2 - y1}{x2 - x1} \fracyx}[/tex]
m = [tex]\frac{-1 - 2}{-2 -1}[/tex]
m = [tex]\frac{-3}{-3}[/tex]
m = 1
Work for #3
y = -1/5x + 3 and through (4, -1)
The slope of a perperndicular line is the negative reciprocal. So, it is 5.
Plug this number into point-slope form. Use the points you were given (4,-1) in the equation as well.
y - y1 = m (x - x1)
y - (-1) = 5 (x - 4)
y + 1 = 5x - 20 (Only if you are supposed to simplify it)
Work for #4
Finish solving the equation
y - (-1) = 5 (x - 4)
y + 1 = 5x - 20
y = 5x - 20 - 1
y = 5x - 21
