All categories

3 years ago

‼️help please.‼️What is the slope-intercept equation of the line with a slope

Mathematics

1 answer:

Luden [163]3 years ago

7 0

Answer:

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

You might be interested in

Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

Equation of a line

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

7 0

3 years ago

Solve the equation. Then check your solution

kondaur [170]

Answer:

Option B is correct i.e. 21

Step-by-step explanation:

In the question we're provided with an equation that is :

v/7 = 3

And we are asked to find the solution for the equation .

Solution : -

 $\longrightarrow \: \frac{v}{7} = 3$ 

Multiplying by 7 on both sides :

$\longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7$

On further calculations , we get :

$\longrightarrow \: \blue{\boxed{v = 21}}$

Therefore , solution for equation is 21 .That means option B is the correct answer.

Verifying :

We are verifying our answer by substituting value of v in the equation given in question :

$\longrightarrow \: \frac{v}{7} = 3$

Putting value of v :

$\longrightarrow \: \cancel{\frac{21}{7}} = 3$

By dividing 21 with 7 , we get :

$\longrightarrow \:3 = 3$

$\longrightarrow \: L.H.S=R.H.S$

$\longrightarrow \: Hence , \: Verified.$

Therefore , our answer is valid .

<h2>#Keep Learning</h2>

3 0

2 years ago

Read 2 more answers

The circle is inscribed in triangle AEC. A circle is inscribed in triangle A E C. Points B, F, and D of the circle are on the si

I am Lyosha [343]

Answer:

EF and ED

CB and CD

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Why is 4 laps in 10 minutes and 6 laps in 15 minutes proportional

Shtirlitz [24]

If you break it down it goes to 2 laps every 5 minutes. So any set that follows this "pattern" would be proportional

3 0

3 years ago

Find the area. 7 cm 5 cm 5 cm 22 cm 10 cm 20 cm. HELP PLEASE!!!!

Sever21 [200]

Answer:

770000

Step-by-step explanation:

im not sure

4 0

2 years ago