Question

Helppp im stuck :(
Hope you guys help me

Answer 1

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

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)=(y_2-y_1)/(x_2-x_1)=(0-2)/(4-0)=-(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=-(1)/(2)(x-0)`

Simplify:

`\implies y-2=-(1)/(2)x`

`\implies y=-(1)/(2)x+2`