Question

Helppp im stuck :( Hope you guys help me

Answer 1

Answer:

$y=-\dfrac{1}{2}x+2$

Step-by-step explanation:

Define two points on the line:

  $\textsf{let}\:(x_1,y_1)=(0,2)$

  $\textsf{let}\:(x_2,y_2)=(4,0)$

Use the slope formula and the defined points to find the slope:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-2}{4-0}=-\dfrac{1}{2}$

Substitute the found slope and one of the points into the point-slope form of a linear equation:

$\implies y-y_1=m(x-x_1)$

$\implies y-2=-\dfrac{1}{2}(x-0)$

Simplify:

$\implies y-2=-\dfrac{1}{2}x$

$\implies y=-\dfrac{1}{2}x+2$