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What is the slope and the y intercept of the line defined by the equation #3x-4y=5#?

Answer 1

Abigail Allen

#y = 3/4x - 5/4#

The slope-intercept form of a linear equation is:

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

Therefore, we must solve this standard form linear equation for #y# to obtain the slope-intercept form:

#3x - 3x - 4y = -3x + 5#

#0 - 4y = -3x + 5#

#-4y = -3x + 5#

#(-4y)/-4 = (-3x + 5)/-4#

#(cancel(-4)y)/cancel(-4) = (-3x)/-4 + 5/-4#

#y = 3/4x - 5/4#

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Answer 2

Nathan Axel

To find the slope and y-intercept of the line defined by the equation 3x - 4y = 5, first, rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Given equation: 3x - 4y = 5

Subtract 3x from both sides: -4y = -3x + 5

Divide both sides by -4: y = (3/4)x - (5/4)

So, the slope (m) is 3/4 and the y-intercept (b) is -5/4.

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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.