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3 years ago

Find the equation of the line shown

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

Answer:

y = 2x

Step-by-step explanation:

Use y = mx + b to write an equation. The y-intercept is zero. This is where the line crosses the y -axis, kind of the "starting point" So in the equation the b is a zero.

You can grab a couple points from the line to do a calculation for slope. BUT, you can actually SEE the slope on this line and save yourself the calculation. Starting from zero, see that you go UP 2 and OVER 1 to get to the next point. UP2OVER1 gets you to the next point and the next point. UP2OVER1 is the slope 2/1, which is 2, which is the m in the equation.

y = 2/1 x + 0

y = 2x + 0

y = 2x

**in case you have to show a calc for slope. Grab two points and do y-y, put that on top and then x-x and put that on the bottom.**

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3 years ago

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Phoenix [80]

Answer-

Set of constraints to model the problem are,

$12x+9y\geq 510$

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Solution-

x = the number of lawns weeded by Gwen,

y = the number of dogs walked by Fabio.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

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The equation for this is,

$12x+9y\geq 510$

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

$y \leq 2x$

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

$y \geq 25$

8 0

3 years ago

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B54%7D%20%3D%20%5Cfrac%7B2x%2B8%7D%7B5x-4%7D" id="TexFormula1" title="\frac{2

tia_tia [17]

Step-by-step explanation:

step 1. what is the question? solve for x? okay.

step 2. 28/54 = (2x+ 8)/(5x - 4)

step 3. 28(5x - 4) = 54(2x + 8) (cross multiplication)

step 4. 14(5x - 4) = 27(2x + 8) (divide both sides by 2)

step 5. 70x - 56 = 54x + 216 (distributive property)

step 6. 16x = 272 (group x's and add 56 to both sides)

step 7. x = 17 (divide both sides by 16).

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3 years ago

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Vaselesa [24]

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xenn [34]

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3 years ago

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