Write the linear function whose graph has the given slope m and passes through the given point.
1. m = 1 ; (-2, -4) 2. m = 4/3 ; (-3, 2)
3. m = -4; (0, 0) 4. m = 2/5; (-1, 2)
5. m = -1; (2,1)
Activity 3: Write the linear function whose slope and y intercept are given.
1. Slope -2; y-intercept 5
2. Slope -½ ; y intercept 0
3. Slope -3; y intercept -5
4. Slope -5; y intercept ¾
5. Slope -2.5; y intercept -1.5
pasagot po with solution sana para mareview koo.
Answers
Given : 1. m = 1 ; (-2, -4)
2. m = 4/3 ; (-3, 2)
3. m = -4; (0, 0)
4. m = 2/5; (-1, 2)
5. m = -1; (2,1)
To Find : Linear Function
Solution:
Equation of line passing through point (x₁ , y₁ ) with slope m
y - y₁ = m(x - x₁)
m = 1 ; (-2, -4)
=> y - (-4) = 1(x -(-2))
=> y +4 = x + 2
=> x = y + 2
Similarly
m = 4/3 ; (-3, 2)
y - 2 = (4/3)(x + 3)
=> 3y - 6 = 4x + 12
=> 3y = 4x + 18
m = -4; (0, 0)
=> y = -4x
=> 4x + y = 0
m = 2/5; (-1, 2)
=> y - 2 = (2/5)(x + 1)
=> 5y - 10 = 2x + 2
=> 5y = 2x + 12
m = -1; (2,1)
=> y - 1 = -1 (x - 2)
=> y - 1 = -x + 2
=> x + y = 3
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