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How do you find the slope and intercept of #4x-7y=21#?

Answer 1

Genesis Allen

see below.

When a linear equation is arranged in the form:

#y = color(blue)(m)x + color(blue)(c)#

#color(blue)(m)# is the gradient(slope) and #color(blue)(c)# is the #y# axis intercept.

#4x - 7y = 21 #

Subtract #4x# from both sides: # - 7y = -4x +21#

Divide by #-7#

#y = 4/7x - 3#

#color(blue)(m) = 4/7#

#color(blue)(c) = -3#

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Answer 2

Kennedy Adams

To find the slope and intercept of the equation (4x - 7y = 21), first, rearrange the equation into slope-intercept form (y = mx + b), where (m) represents the slope and (b) represents the y-intercept. The steps are as follows:

Subtract (4x) from both sides: (-7y = -4x + 21).
Divide both sides by (-7): (y = \frac{4}{7}x - 3).

The equation is now in slope-intercept form (y = mx + b), where the slope (m) is (\frac{4}{7}) and the y-intercept (b) is (-3). Therefore, the slope is (\frac{4}{7}) and the y-intercept is (-3).

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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.