Question

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Answer 1

Answer:

x + 6y -24 = 0

Step-by-step explanation:

Equation: y=mx+b

y = -1/6x + 4

Answer 2

Answer:

$y=\frac{-1}{6} x+4$

Step-by-step explanation:

The equation of a line is:

$y=mx+b$

...where m is the slope, and b is the y-intercept. You have the slope, so plug it into the equation.

$y=\frac{-1}{6} x+b$

You also have a coordinate, and therefore, you have x and y. Thus, those values into the equation to find b.

$5=\frac{-1}{6}(-6)+b\\ 5=1+b\\4=b$

Hence, your final equation is:

$y=\frac{-1}{6} x+4$