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4 years ago

Choose a linear function for the line representing by the point slope equation y-5=3(x-2)

Mathematics

2 answers:

Dmitry_Shevchenko [17]4 years ago

7 0

Multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1

Reptile [31]4 years ago

5 0

Answer:

y=3x-1

Step-by-step explanation:

To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.

To figure it out you need to solve for y.

y-5=3(x-2)

Expand 3(x-2) to 3x-6.

y-5=3x-6

Isolate the y by adding 5 to both sides, giving you y=3x-1.

The slope is 3 and the Y intercept is -1.

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3 years ago

Please help!! The slope of the line passing through the points (-3, 4) and (4, -1) is ___.

oksano4ka [1.4K]

I hope this helps you

slope=m

(-3,4) x'=-3 y'=4

(4,-1) x"=4 y"=-1

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m. (x'-x")=y'-y"

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3 years ago

Use the four functions below for this question:

Jlenok [28]

Answer:

We have four functions:

For f(x) we have two points (-2,2) and (-1,-1)

we will use two point form which is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, on substituting the values we get:

$y-2=\frac{-1-2}{-1-(-2)}(x-(-2))$

$y-2=\frac{-3}{x+2}$

$y=-3x-4$

So, f(x)=-3x-4

We have g(x)=3x-4

Now, we will from h(x) we have two points let initial point on monday is (0,4) and tuesday (1,1) again use two point form we get:

$y-4=-3(x-0)$

$\Rightarrow y=-3x+4$

So, h(x)= -3x+4

Now, we will form j(x) we have three points (2,10) , (-2,6) and (2,22)

We will use (-2,6) and (2,22) to find the function with two point form.

$y-6=\frac{22-6}{2+2}x+2)$

$\Rightarrow y=4x+14$

j(x)= 4x+14

To find the slope we will compare the given function with general equation which is y= mx +c; m is the slope

And to find y-intercept we will put x=0

f(x)=-3x-4

Slope is: -3

And y-intercept is: (0,-4)

g(x)=3x-4

Slope is: 3

And y-intercept is: (0,-4)

h(x)= -3x+4

Slope is: -3

And y-intercept is: (0,4)

j(x)= 4x+14

Slope is: 4

And y-intercept is: (0,14)

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