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what is the equation of this line?

A: y=-3/2x
B: y=2/3x
C: y=-2/3x
D: y=3/2x​


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Sagot :

Esther

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

I will be using (3,2) and (-3,-2) to find the slope:

[tex]m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}[/tex]

[tex]y = mx + b\\y = \frac{2}{3}x+b[/tex]

(3,2)

[tex]y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2 -2\\\\0=b[/tex]

[tex]y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x[/tex]

Hope this helps!

View image Esther