robertor7791
Answered

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Find an equation for the line

Find An Equation For The Line class=

Sagot :

Esther

Answer:

[tex]y=-\frac{4}{3}x+\frac{14}{3}[/tex]

Step-by-step explanation:

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

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-(-2)}{-1-5} \\\\m=\frac{6+2}{-1-5} \\\\m=\frac{8}{-6} \\\\m=-\frac{4}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=-\frac{4}{3} x+b[/tex]

(-1, 6)

[tex]y=-\frac{4}{3} x+b\\\\6=-\frac{4}{3}(-1)+b\\\\6=\frac{4}{3}+b\\\\3(6=\frac{4}{3}+b)\\\\18=4+3b\\\\-4 -4\\\\14=3b\\\\/3 /3\\\\14/3=b[/tex]

[tex]y=-\frac{4}{3}x+\frac{14}{3}[/tex]

Hope this helps!

View image Esther
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