Posted by John on .
1. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1).
2. Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent. Explain
1. The slope-intercept form is
y = mx + b
Write these two equations that must be satisfied for the two points:
5 = 3m + b
1 = -2m + b
Subtract the second from the first:
4 = 5m m = 4/5
5 = 12/5 + b
b = 13/5 etc.
2. Multiply the first equation by 1.5 and get
9x - 3y = 15
This is inconsistent wth the second equation. They repreesnt two parallel lines. They cannot both be satisfied at any point in (x,y) space.