1. The line passes the points (-6,2) and (3,-5).
2. The line passes the points (3,-4) with a slope of 3
3. A line that has a slope of 2 and a y— intercept of 3/2.
4. A line passing through (3,0) and (0,-2)
5. The line with a slope of 1/2. passes the point (3,1)
Answers
Step-by-step explanation:
The line passes the points (-6,2) and (3,-5).
2. The line passes the points (3,-4) with a slope of 3
3. A line that has a slope of 2 and a y— intercept of 3/2.
4. A line passing through (3,0) and (0,-2)
5. The line with a slope of 1/2. passes the point (3,1)
Given : 1. The line passes the points (-6,2) and (3,-5).
2. The line passes the points (3,-4) with a slope of 3
3. A line that has a slope of 2 and a y— intercept of 3/2.
4. A line passing through (3,0) and (0,-2)
5. The line with a slope of 1/2. passes the point (3,1)
To Find: Equation of the line
Solution:
y = mx + c
m = slope , c = y intercept
y - y₁ = m(x - x₁)
m = (y₂ - y₁)/(x₂ - x₁)
1. The line passes the points (-6,2) and (3,-5).
m = (-5 - 2)/(3 - (-6)) = -7/9
y - 2 = (-7/9)(x - (-6))
=> 9y - 18 = -7x - 42
=> 7x + 9y + 24 = 0
2. The line passes the points (3,-4) with a slope of 3
y - (-4) = 3(x - 3)
=> y + 4 = 3x - 9
=> y = 3x - 13
3. A line that has a slope of 2 and a y— intercept of 3/2.
y = 2x + 3/2
=> 2y = 4x + 3
4. A line passing through (3,0) and (0,-2)
slope = 2/3
y - 0 = ( 2/3)(x - 3)
=> 3y = 2x - 6
=> 2x - 3y = 6
5. The line with a slope of 1/2. passes the point (3,1)
y - 1 = (1/2)(x - 3)
=> 2y - 2 = x - 3
=> x - 2y = 1
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