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3 years ago

Find the slope and y-intercept of the line.

Mathematics

1 answer:

sergey [27]3 years ago

4 0

slope-intercept formula: y = mx + b

m = slope

b = y-intercept

your equation: y = 4/3x - 3

m = 4/3

b = -3

so, the answer would be the last option.

hope this helps, have a great day/night :)

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4. Find the equation of the line that goes through the point (1,-1) and has a slope of 5.

frutty [35]

Answer: $y=5x-6$

Step-by-step explanation:

use point-slope form

$(y-y_{1}) =m(x-x_{1})$

plug in given values where m is slope and y1 and x1 are values

$y-(-1)=5(x-1)$

$y+1=5(x-1)$

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$y=5x-6$

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2 years ago

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3 years ago

Read 2 more answers

Solve the differential equation dy/dx = (x-2) / (y-2)

Brums [2.3K]

Answer:

y = 2 ± $\sqrt{x^2 - 4x + 4 + C}$

Step-by-step explanation:

Solve using separable equations

First put x and dx on the same side and do the same for y

(y-2)dy = (x-2)dx

Now you can integrate

$\frac{x^2}{2} +2x + C1 = \frac{y^2}{2} +2y\\$ + C1

Now we depending on how what ur instructor wants you may need to give exact solutions. We can do this by solving he quadratic equation for Y

Doing this you get:

y = 2 ± $\sqrt{x^2 - 4x + 4 + C}$

<em>Note C's were simplified.</em>

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3 years ago

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4 years ago

Given: x - 7 > -2. choose the solution set

klemol [59]

Remember you can do anything as long as you do it to both sides
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or
S={x|x>5} or
(5,∞)

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3 years ago

Find the slope and y-intercept of the line. ​

Find the slope and y-intercept of the line.