How do you find the slope and intercept of #5x + 2y = 10#?

Answer 1

slope #=-5/2#
y-intercept = 5

The equation of a line in #color(blue)"slope-intercept form"# is
#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))# where m represents the slope and b, the y=intercept.

The advantage to having the equation in this form is that m and b may be extracted 'easily'

Rearrange 5x + 2y = 10 into this form.

subtract 5x from both sides

#cancel(5x)+2ycancel(-5x)=10-5xrArr2y=-5x+10#

now divide both sides by 2

#(cancel(2)^1 y)/cancel(2)^1=(-5)/2 x+10/2rArrcolor(red)(|bar(ul(color(white)(a/a)color(black)(y=-5/2 x+5)color(white)(a/a)|)))#
#rArr" slope" =-5/2" and y-intercept" =5#
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Answer 2

To find the slope and intercept of the equation 5x + 2y = 10, you need to rewrite it in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

  1. Start by isolating y on one side of the equation: 5x + 2y = 10 Subtract 5x from both sides: 2y = -5x + 10 Divide both sides by 2: y = (-5/2)x + 5

  2. Now, the equation is in slope-intercept form, where the slope (m) is -5/2 and the y-intercept (b) is 5.

Therefore, the slope is -5/2 and the y-intercept is 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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