Question

I need help with this

Answer 1

`y = - (1)/(2) x + 4`

Explanation:

Let us consider two points through which the line passes through

`(x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )`

Step 1 : Find slope of the line

`Slope, m_1 = (rise)/(run) \\\\That \ is \ m_1 \ = (y_2 - y _ 1)/(x_2 - x_1)`

`= (2 - 4)/(4-0) \\\\=-(2)/(4)\\\\= - (1)/(2)`

Step 2 : Find equation of the line.

`(y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - (1)/(2)(x - 0)\\\\y = -(1)/(2)x + 4`