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What is the slope and intercept of #y-2/7=4x#?

Answer 1

Eli Assouline

See a solution process below:

First, rewrite this equation as:

#y - 2/7 + color(red)(2/7) = 4x + color(red)(2/7)#

#y - 0 = 4x + 2/7#

#y = 4x + 2/7#

This equation is now in slope intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

#y = color(red)(4)x + color(blue)(2/7)#

Therefore:

The slope is: #color(red)(m = 4)#

The #y#-intercept is: #color(blue)(b = 2/7)# or #(0, color(blue)(2/7))#

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Answer 2

Hazel Anglin

The slope of the equation y - 2/7 = 4x is 4, and the y-intercept is (0, 2/7).

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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.