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3 years ago

15

Find the equation in slope-intercept form, of the line passing through the points (1,3) and (-1,2)

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

The equation of the line would be y = .5x + 2.5

Step-by-step explanation:

In order to find this, we must first find the slope of the equation.

m (slope) = (y2 - y1)/(x2 - x1)

m = (2 - 3)/(-1 - 1)

m = -1/-2

m = .5

Now that we have the slope, we can use either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 3 = .5(x - 1)

y - 3 = .5x - .5

y = .5x + 2.5

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$V = 1218.0375m^{3}$

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Step-by-step explanation:

Area:

$A =$ π $r^{2}$

$152.4 =$ π $(2x)^{2}$ *Square 2x*

$152.4 =$ π $4x^{2}$ *Divide by π*

$48.510 = 4x^{2}$ *Divide by 4*

$12.128 = x^{2}$ *Square root*

$\sqrt{12.128} = x$ *Solve*

x ≈ 3.482

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$A =$ π $r^{2}\\$

Now replace x with 3.482 and solve for area.

$A = 342.9m^{2\\}$

Volume:

$V = \frac{4}{3}$ π $r^{3}$ *Insert variables*

$360.9 = \frac{4}{3}$ π $(2x)^{3}$ *Cube 2x*

$360.9 = \frac{4}{3}$ π $(8x^{3})$ *Multiply $\frac{3}{4}$ on both sides*

$270.675 =$ π $(8x^{3})$ *Divide by π*

$86.159 = 8x^{3}$ *Divide by 8*

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Now take the same equation but replace 2x with 3x

$V = \frac{4}{3}$ π $(3x)^{3}$

Now replace x with 2.208 and solve for volume.

$V = 1218.0375m^{3}$

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