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3 years ago

How do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

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3 years ago

Keya is training for a duathlon competition comprised of running and biking. Her training involves running for LaTeX: RR minutes

balu736 [363]

Answer:

21000 meters

Step-by-step explanation:

100R + 300B

100(30) + 300(60)

3000 + 18000 = 21000

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4 years ago

The expression 25x2 - 81 can be rewritten as (5x - 9)(5x + 9). (5x - 9) is a ____ of 25x2 - 81. A) divisor B) factor C) multiple

stich3 [128]

Ans: B
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Hope this can help.

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4 years ago

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nadya68 [22]

Answer:

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Step-by-step explanation:

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3 years ago

3 = t + 11.5 - t

Ray Of Light [21]

Answer:

There are no solutions.

Step-by-step explanation:

3=t+11.5-t

3=11.5 (does not work)

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3 years ago