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3 years ago

3x-4y=6 converted to slope intercept form

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

Answer:

-4y = 6 - 3x

y = (3/4)x - 3/2

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

NeX [460]

6/4=3/2
y+3=3/2(x-1)
y+3=3/2x -3/2
y=3/2x -11/2 is the equasion

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3 years ago

Suppose that a particle following the given path c(t) flies off on a tangent at t = t0. Compute the position of the particle at

Svetach [21]

Answer:

(30,35,0)

Step-by-step explanation:

We are given that

$C(t)=(2t^2,t^3-4t,0)$

$t_0=3,t_1=4$

The velocity of particle, $v(t)=c'(t)=(4t,3t^2-4,0)$

Substitute $t_0=3$

$C(3)=(2(3)^2,(3)^3-4(3),0))=(18,15,0)$

$v(3)=(4(3),3(3)^2-4,0)=(12,23,0)$

The tangent line at t=3 is given by

$l(t)=c(2)+(t-3)v(3)=(18,15,0)+(t-3)(12,23,0)$

Now, substitute t=4

$l(4)=(18,15,0)+(4-3)+(12,23,0)=(18,12,0)+(12,23,0)$

$l(4)=(30,35,0)$

Hence, the position of particle at $t_1=4$ =(30,35,0)

4 0

3 years ago

Find the slope and y intercept <br> (Please show work)

zepelin [54]

Answer:

slope = - 6, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

0 = 2x - $\frac{5}{3}$ + $\frac{1}{3}$ y ( multiply through by 3 to clear the fractions )

0 = 6x - 5 + y ( subtract 6x - 5 from both sides )

- 6x + 5 = y , that is

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6 and y- intercept c = 5

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3 years ago

If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?

kondaur [170]

The equation for slope is y=mx+b. slope is m. 2 is the slope. so you know the m part of the equation is 2. just by eliminating the answers that don’t have 2 as the slope, A is your answer.

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3 years ago

What is the slope of the line that passes<br> through<br> 0(-4, 8) and (5, 2)?

zlopas [31]

Answer:

(-8,-4) and (-2,5). at reflect on x axis

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3 years ago