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What is the slope and y-intercept of the line # -y = - 4x #?

Answer 1

Hazel Anglin

In the equation #-y=-4x#, the slope is #-4# and the y-intercept is zero.

The slope intercept form for a linear equation is #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

In the equation #-y=-4x#, the slope is #-4# and the y-intercept is zero.

graph{-y=-4x [-10, 10, -5, 5]}

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Answer 2

Jace Anderson

To find the slope and y-intercept of the line described by the equation (-y = -4x), you first need to express the equation in slope-intercept form, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Rearranging the given equation to this form gives:

[y = 4x]

Here, the slope (m) is 4, and since there is no constant term added or subtracted on the right-hand side of the equation, the y-intercept (b) is 0. This means the line crosses the y-axis at (y = 0).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.