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jonny [76]
2 years ago
10

A line has this equation: x + 10y = 60

Mathematics
1 answer:
Jet001 [13]2 years ago
6 0

Answer:

y=10x+99

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.

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4x⁶(1+2x²)²

Step-by-step explanation:

Factor out the common term 2x³

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Which equation represents the line that passes through the points (-3,-3) and (12,2)?
FromTheMoon [43]

Answer:

\displaystyle x - 3y = 6\:OR\:y = \frac{1}{3}x - 2

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 + 2}{3 + 12} = \frac{5}{15} = \frac{1}{3}

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it swiftly that way. It does not matter which ordered pair you choose:

2 = ⅓[12] + b

4

\displaystyle -2 = b \\ \\ y = \frac{1}{3}x - 2

If you want it in <em>Standard</em><em> </em><em>Form</em>:

y = ⅓x - 2

- ⅓x - ⅓x

_________

−⅓x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]

−3[−⅓x + y = −2]

\displaystyle x - 3y = 6

_______________________________________________

−3 = ⅓[−3] + b

−1

\displaystyle -2 = b \\ \\ y = \frac{1}{3}x - 2

If you want it in <em>Standard Form</em>:

y = ⅓x - 2

- ⅓x - ⅓x

_________

−⅓x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]

−3[−⅓x + y = −2]

\displaystyle x - 3y = 6

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

5 0
2 years ago
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