Question

What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragment, 3, 6

Answer 1

The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

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