Question

I need help with this

Answer 1

Answer:

$y = - \frac{1}{2} x + 4$

Step-by-step 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

$Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}$

                  $= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}$

Step 2 : Find equation of the line.

$(y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4$