Question

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

Answer 1

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

$Slope:\ m=\dfrac{b}{a}\\\\\uparrow b\ units\ if\ b > 0\\\downarrow b\ units\ if\ b < 0\\\leftarrow a\ units\ if\ a < 0\\\rightarrow a\ units\ if\ a > 0$

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