All categories

3 years ago

Write an equation for the line that is parallel to the given line and passes through the given point Y= 3x + 2; (1, 3)

Mathematics

1 answer:

IgorC [24]3 years ago

6 0

m = 3 is the slope of the given line; also its the slope of anything parallel to the given line

(x1,y1) = (1,3) is the given point the parallel line goes through

y - y1 = m(x-x1) .... point slope form

y - 3 = 3(x - 1) .... plug in the given values; solve for y

y - 3 = 3x - 3

y - 3+3 = 3x - 3 + 3

y = 3x + 0

y = 3x

Final Answer: y = 3x

side note: if you plugged in x = 1 it leads to y = 3 which confirms that (x,y) = (1,3) is on this parallel line.

You might be interested in

The given value below figure find the value of x

tino4ka555 [31]

Answer:

Step-by-step explanation:

We know:

The sum of the quadrilateral angles measures 360°.

Therefore we have the equation:

$30^o+39^o+48^o+m\angle D=360^o\qquad(1)$

The sum of angles x and D is equal to 360°. Therefore we have the other equation:

$x+m\angle D=360^o\qquad(2)$

From (1) and (2) we have:

$x+m\angle D=30^o+39^o+48^o+m\angle D\qquad\text{subtract}\ m\angle D\ \text{from both sides}\\\\x=30^o+39^o+48^o\\\\x=117^o$

6 0

3 years ago

The table below shows the number of e-mails received each day by a

Romashka [77]

Answer:Wednesday I think

Step-by-step explanation:

7 0

3 years ago

you give 1/3 of a pan of brownies to Susan a 1/6 of the pan of brownies to Patrick. how much of the pan of brownies did you give

Neko [114]

5/10 is the answer or 1/2 if reduced
Hope I helped

4 0

3 years ago

Read 2 more answers

Helppppp will give brainliest

Ivahew [28]

Answer:

Option C is correct.

Step-by-step explanation:

In an inverse variation, an increase in one quantity leads to a corresponding decrease in the other.

The product is constant throughout the table.

The product is $960$

and it shows inverse variation also.

6 0

2 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In 2x - In(3x - 1) = 0

LenKa [72]

Answer:

$\frac{-1}{3x^2-x}$

Step-by-step explanation:

If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)= $\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}$

h(x)=In(3x - 1) then h'(x)= $\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}$

7 0

3 years ago