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What is the equation of a line that has a slope of 2 and passes through the point (4,6) ?

natka813 [3]

Answer:

$y-6=2\,(x-4)$

or in slope y-intercept form :

$y=2x-2$

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point $(x_0,y_0)$ it goes through:

$y-y_0=m\,(x-x_0)$

In our case the equation becomes:

$y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\$

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

$y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2$

7 0

3 years ago

What is 7.25-6.17=? in subtracting decimals

Aleks04 [339]

Answer:

1.08

Step-by-step explanation:

5 0

3 years ago

PLEASE ANSWERRRRRRRRRR

mash [69]

Answer: OPTION B.

Step-by-step explanation:

Given the following System of equations:

$\left \{ {{3x-5y=19} \atop {x+y=1}} \right.$

You can use the Elimination Method to solve it. The steps are:

1. You can mutliply the second equation by -3.

2. Then you must add the equations.

3. Solve for the variable "y".

Then:

$\left \{ {{3x-5y=19} \atop {-3x-3y=-3}} \right.\\.....................\\-8y=16\\\\y=\frac{16}{-8}\\\\y=-2$

4. Now that you know the value of the variable "y", you must substitute it into any original equation.

5. The final step is to solve for "x" in order to find its value.

Then:

$x+(-2)=1\\\\x=1+2\\\\x=3$

Therefore, the solution is:

$(3,-2)$

8 0

4 years ago

Enter an equation in point-slope form for the line.<br> Slope is 9 and (−3, −1) is on the line.

Korolek [52]

Answer:

y+1=9(x+3)

Step-by-step explanation:

Since the equation for point slope form is y-y₁=m(x-x₁)

enter the given points (-3,-1)

y-(-1)=9(x-(-3))

y+1=9(x+3) <-- point slope form

8 0

3 years ago

Terica is dissolving a substance in a solution for a chemistry experiment. Terica measured the amount of substance remains in gr

vfiekz [6]

Answer: -1 1/3

She asked me where I was from

I said "Somewhere you never been to"

Little town outside of Knoxville

Hidden by some dogwood trees

She tried talkin' with my accent

We held hands and waded into

That blue water

She left her flip-flops by my Red Wings on the beach

[Chorus]

Yeah but, now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed mе tells me she'd lovе Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

[Verse 2]

I said "Let's go shoot tequila"

So we walked back to that beach bar

She said "Don't cowboys drink whiskey?" (huh)

So we drank bottom shelf

She said ", that sky looks perfect"

I said "Girl, you've never seen stars like the ones back home"

And she said "Maybe I should, see 'em for myself"

[Chorus]

Yeah, but now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed me tells me she'd love Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

[Bridge]

I said meet me in the mornin'

And she told me I was crazy

Yeah, but I still thought that maybe she'd show up

[Chorus]

Oh, but now I'm dodging potholes in my sunburnt Silverado

Like a heart-broke Desperado, headin' right back to my roots

Somethin' 'bout the way she kissed me tells me she'd love Eastern Tennessee

Yeah, but all I brought back with me was some sand in my boots

Step-by-step explanation:

7 0

2 years ago