Find an equation for the line

asked Mar 11, 2023 168k views

20 votes

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9 votes

Answer:

y=(3)/(5)x+(7)/(5)

Explanation:

Slope (m) formula:
(y_2-y_1)/(x_2-x_1)

$m=(y_2-y_1)/(x_2-x_1) \\\\m=(5-(-1))/(6-(-4)) \\\\m=(5+1)/(6+4) \\\\m=(6)/(10) \\\\m=(3)/(5)$

y=mx+b

y=(3)/(5) x+b

(-4, -1)

$y=(3)/(5) x+b\\\\-1=(3)/(5)(-4)+b\\\\-1=-(12)/(5)+b\\\\5(-1=-(12)/(5)+b)\\\\-5=-12+5b\\\\+12 +12\\\\7=5b\\\\/5 /5\\\\7/5=b$

y=(3)/(5)x+(7)/(5)

Hope this helps!

Duy answered Mar 16, 2023

by Duy

8.6k points

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