Answer:
2. m = 1
3. y - (-1) = 5 (x - 4)
4. y = 5x - 21
Explanation:
Work for #2
m (slope) =
![(y2 - y1)/(x2 - x1) \fracyx}](https://img.qammunity.org/2021/formulas/mathematics/high-school/uw1hae9k5zoq341kf3nz0b0xovvko93lgy.png)
m =
![(-1 - 2)/(-2 -1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mq8kecu82m0vqa3gdif8f1dklcv30fvx5p.png)
m =
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