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Confused on how I would answer this question in y=mx+b form

Confused on how I would answer this question in y=mx+b form-example-1
User Sambardo
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1 Answer

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Recall that the form of the line y = m x + b

is what is called the slope-intercept form because the slope "m"is shown explicitly in it, and the y-intercept value is shown as the "b"

In our case, we are asked to find the equation of the line in slope-intercept form for a slope m= -1/3 and also make sure that the line goes through the point (6, -4) on the plane

So we work directly from the general form given above:

y = m x + b

knowing that m = - 1/3

Then we have:

y = -1/3 x + b

now, to find "b"we use the information about the point (6 , -4) the line goes through, replacing these x and y values in the equation, and solving for "b":

Notice that x = 6 and y = -4 in that point

- 4 = -1/3 (6) + b

- 4 = - 6/3 + b

- 4 = - 2 + b

add 2 to both sides

- 4 + 2 = b

- 2 = b

Then the equation for this line reads:

y = - 1/3 x - 2

which agrees with the very first answer in the list of possible options.

User Noya
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