Point-slope equation for perpendicular lines y=-2x-7 that passes through (-2,-3)

Mathematics

1 answer:

emmainna [20.7K]2 years ago

7 0

Answer: below! ^^

Step-by-step explanation:

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Perpendicular lines have slopes that are opposite inverses of each other.

The slope (m) of the line that is perpendicular to y=-2x-7 is $\sf -\cfrac{1}{2}$ .

<h3>⚜ Point slope formula</h3>

$\boldsymbol{y-y1=m(x-x1)}$

<h3>⚜Stick in the known values</h3>

$\boldsymbol{y-(-3)=-\cfrac{1}{2}(x-(-2)}$

<h3>⚜ Simplify</h3>

$\boldsymbol{y+3=-\cfrac{1}{2}(x+2)}$

Voila! There's our answer, cheers! (:

<em>Hope I helped! Best wishes!</em>

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The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one

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<h3>Answer: B. 62 degrees fahrenheit</h3>

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Explanation:

x = elevation in feet

y = temperature in fahrenheit

The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.

The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.

We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60

Now plug in x = 2000 to find the temperature at this elevation

y = 0.001x+60

y = 0.001*2000+60

y = 2+60

y = 62

7 0

3 years ago

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