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What is the equation in policy by slope form

What is the equation in policy by slope form-example-1

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a line that is parallel to a line whose equation is y = -4x + 2, has the same exact slope,
\bf y=\stackrel{slope}{-4}x+2

so, what's the equation of a line whose slope is -4 then, and passes through )(-6, -4)?


\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -6}}\quad ,&{{ -4}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -4 \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-(-4)=-4[x-(-6)]\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y+4=-4(x+6)\implies \stackrel{point-slope~form}{y+4=-4x-24} \\\\\\ y=-4x-24-4\implies \stackrel{slope-intercept~form}{y=-4x-28}
User Randy Eppinger
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