How do you find the slope given #4x+5y= -2#?

Answer 1

#-4/5#

The y-intercept is helpful because it allows us to "easily" extract m and c from the equation of a line, which is expressed as y = mx + c, where m stands for the gradient (slope).

This form of rearrangement allows us to extract the slope: 4x + 5y = -2.

Move 4x to the right and leave 5y on the left (don't forget to subtract!).

thus 5y = -4x -2

divide each term by five.

#rArrcancel(5)y/cancel(5)=(-4)/5x-2/5#
so y =#-4/5x-2/5" is now in the form y=mx+c"#
#rArr "slope"=-4/5#
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Answer 2

To find the slope of the line given by the equation 4x + 5y = -2, rearrange the equation to slope-intercept form (y = mx + b) by solving for y: 5y = -4x - 2. Then divide both sides by 5 to isolate y: y = (-4/5)x - (2/5). The coefficient of x, which is -4/5, represents the slope of the line. Therefore, the slope of the line is -4/5.

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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.

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.

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.

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.

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