SOLUTION: Write the point-slope (y - k = m(x - h)) form of the equation from the information given. 1. Slope = ½; (h, k) = (1, -2) 2. Slope equals 2 and the line goes through the poin

Algebra ->  Linear-equations -> SOLUTION: Write the point-slope (y - k = m(x - h)) form of the equation from the information given. 1. Slope = ½; (h, k) = (1, -2) 2. Slope equals 2 and the line goes through the poin      Log On


   

Question 1152399: Write the point-slope (y - k = m(x - h)) form of the equation from the information given.
1. Slope = ½; (h, k) = (1, -2)
2. Slope equals 2 and the line goes through the point (-1, 3)
3. The line goes through the points (8,5) and (9, 6)
4. The line goes through the points (-1, -7) and (-8, -2)
5. The line goes through the points (1/2, 3/2) and (-1/4, 5/4)
Thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Write the point-slope y+-+k+=+m%28x+-+h%29 form of the equation from the information given.
1. Slope m=1%2F2; (h,+k) = (1, -2)
y+-+%28-2%29+=+%281%2F2%29%28x+-+1%29
y+%2B2+=+%281%2F2%29%28x+-+1%29


2. Slope equals {{m=2}}} and the line goes through the point (-1,+3)
y+-+3+=+2%28x+-+%28-1%29%29
y+-+3+=+2%28x+%2B1%29

3. The line goes through the points (8,5) and (9, 6)
then, slope m=%286-5%29%2F%289-8%29=1%2F1=1

y+-+k+=+m%28x+-+h%29
use a slope m=1 and point (8,5)

y+-+5+=+1%28x+-+8%29
y+-+5+=+%28x+-+8%29


4. The line goes through the points (-1,+-7) and (-8, -2)
then, slope m=%28-2-%28-7%29%29%2F%28-8-%28-1%29%29=%28-2%2B7%29%2F%28-8%2B1%29=5%2F-7=-5%2F7
y+-+k+=+m%28x+-+h%29
use a slope m=-5%2F7 and point (-1,+-7)
y+-+%28-7%29+=+-%285%2F7%29%28x+-%28-1%29%29
y+%2B7+=+-%285%2F7%29%28x+%2B1%29


5. The line goes through the points (1%2F2, 3%2F2) and (-1%2F4, 5%2F4)

slope


y+-+k+=+m%28x+-+h%29
use a slope m=1%2F3+ and point (1%2F2, 3%2F2)
y+-3%2F2+=+%281%2F3%29%28x+-1%2F2%29