Question

Equations, Their Slopes And Y-intercepts. please one question number 16. Thank you!

Answer 1

`Standard\ form:\ Ax+By=C\\\\Slope-intercept\ form:\ y=mx+b\\m-slope,\ b-y-intercept`

`Slope:\ m=(b)/(a)\\\\\uparrow b\ units\ if\ b > 0\\\downarrow b\ units\ if\ b < 0\\\leftarrow a\ units\ if\ a < 0\\\rightarrow a\ units\ if\ a > 0`

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`Standard\ form:\\\\12x+8y=48\\-----------------------\\12x+8y=48\qquad|-12x\\8y=-12x+48\qquad|:8\\y=-(12)/(8)x+(48)/(12)\\Slope-intercept form\\\\y=-(3)/(2)x+4\\--------------------------\\Slope\\\\m=(-3)/(2)\ \begin{array}{ccc}\downarrow\\\rightarrow\end{array}\\-----------------------------\\y-intercept\to b=4\\(0,\ 4)`