Question

Write the equation of the line in SLOPE- INTERCEPT form:

1. (4, 2); slope 3
2. (3, -1); slope 4
3. (-4,-2), (4,0)

Answer 1

Explanation:

1) slope = m = 3

(4 , 2) ; x₁ = 4 ; y₁ = 2

y - y₁ = m(x - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y = 3x - 12 + 2

y = 3x - 10 {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

`Slope =(y_(2)-y_(1))/(x_(2)-x_(1))\\\\= (0-[-2])/(4-[-4])\\\\=(0+2)/(4+4)\\\\=(2)/(8)\\\\=(1)/(4)\\`

m = 1/4 ; (4 , 0)

y - y₁ = m(x - x₁)

`y - 0 = (1)/(2)(x - 4)\\\\y =(1)/(2)x - 4 *(1)/(2)\\\\y =(1)/(2)x - 2`