Question

Determine a equação da reta que passa pelo ponto M (-1, 4) e tem coeficiente angular 1/2.

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Equac_{\!\!,}\tilde ao\,da\,reta}\\\underline{\rm que\,passa\,por\,P(x_0,y_0)}\\\underline{\rm E\,tem\,coeficiente\,angular\,m.}\\\sf y=y_0+m\cdot(x-x_0)\\\boldsymbol{'' y\hat oy\hat o\,mi\,xix\hat o''}\\\sf M(-1,4)\implies x_0=-1~~y_0=4\\\sf m=\dfrac{1}{2}.\\\\\sf y=y_0+m\cdot(x-x_0)\\\sf y=4+\dfrac{1}{2}\cdot(x-(-1))\\\\\sf y=4+\dfrac{1}{2}(x+1)\\\\\sf y=4+\dfrac{1}{2}x+\dfrac{1}{2}\\\\\sf y=\dfrac{8+x+1}{2}\\\\\sf y=\dfrac{x+9}{2}\end{array}}$