First get y by itself. (y=-2/3x +2). The y-intercept is at 2 and the slope is -2/3 so starting at (0,2) you would go down two and right three and continue doing that to create your graph.

Step-by-step explanation:

Desmos is always a good option for checking your graphs :)

4 0

3 years ago

Please help easy points

blagie [28]

Answer: 2/6

Hope this helps

Step-by-step explanation:

6 0

3 years ago

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What is the slope and the y-intercept of each equation

morpeh [17]

$The\ slope-intercept\ form:y=mx+b\\\\m-the\ slope;\ b-y-intercept$

$(1)\\12x+3y=9\\3y=-12x+9\ \ \ \ |divide\ both\ sides\ by\ 3\\y=-4x+3\\\boxed{m=-4;\ b=3}\\\\(2)\\6x-2y=2\\-2y=-6x+2\ \ \ \ \ |divide\ both\ sides\ by\ (-2)\\y=3x-1\\\boxed{m=3;\ b=-1}$

$(3)\\2x+5y=10\\5y=-2x+10\ \ \ \ |divide\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+2\\\boxed{m=-\frac{2}{5};\ b=2}\\\\(4)\\9x-3y=-1\\-3y=-9x-1\ \ \ \ |divide\ both\ sides\ by\ (-3)\\y=3x+\frac{1}{3}\\\boxed{m=3;\ b=\frac{1}{3}}$

$(5)\\4y+6x=2\\4y=-6x+2\ \ \ \ |divide\ both\ sides\ by\ 4\\y=-\frac{6}{4}x+\frac{2}{4}\\y=-\frac{3}{2}x+\frac{1}{2}\\\boxed{m=-\frac{3}{2};\ b=\frac{1}{2}}\\\\(6)\\8y-2x=5\\8y=2x+5\ \ \ \ |divide\ both\ sides\ by\ 8\\y=\frac{2}{8}x+\frac{5}{8}\\y=\frac{1}{4}x+\frac{5}{8}\\\boxed{m=\frac{1}{4};\ b=\frac{5}{8}}$

$(7)\\5x+5y=3\\5y=-5x+3\ \ \ \ |divide\ both\ sides\ by\ 5\\y=-x+\frac{3}{5}\\\boxed{m=-1;\ b=\frac{3}{5}}\\\\(8)\\-4y=16\ \ \ \ |divide\ both\ sides\ by\ (-4)\\y=-4\\\boxed{m=0;\ b=-4}\\\\(9)\\6x=12\ \ \ \ |divide\ both\ sides\ by\ 6\\x=2\\\boxed{m\ and\ b\ not\ exist}$

5 0

3 years ago

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