Answered

IDNStudy.com, ang iyong destinasyon para sa malinaw at mabilis na mga sagot. Magtanong ng anumang bagay at makatanggap ng kumpleto at eksaktong sagot mula sa aming komunidad ng mga propesyonal.

find the standard form of the equation m=-2/3 that passes through (-3,5)

Sagot :

Riza1idn
[tex] The\ slope \ intercept \ form:y=mx+b\\\\the\ slope\ m=-\frac{2}{3}\to y= -\frac{2}{3}x+b\\\\the\ point\ (-3;\ 5).\ Put\ x=-3\ and\ y=5\\ to\ equation\ of\ line:\\\\5= -\frac{2}{3}\cdot (-3)+b \\5=2+b \\b=5-2\\b=3 \\ \\ y=-\frac{2}{3}x +3[/tex]

[tex]y=-\frac{2}{3}x +3 \ \ / \cdot3 \\ \\3y=-2x+9 \\ \\2x+3y=9[/tex]


View image Riza1

all you need to follow is this formula: (y-y1)=m(x-x1)

your m will be -2/3 and your y1 will be 5 and your x1 is -3 so your solution is

(y-5)=-2/3(x+3)

after that distribute 3 to (y-5) and -2 to (x+3)

after distributing your answer will be 3y-15=-2x-6 after that transpose all

and that will be 2x+3y=-6+15 since its not yet done finish -6+15 that will be 9 so your standard form will be 2x+3y=9