What is the equation of the line that is parallel to the given

Mathematics

1 answer:

slamgirl [31]3 years ago

7 0

Answer:

$y=\frac{1}{5}x+\frac{12}{5}$

Step-by-step explanation:

Complete Question: What is the equation of line that is parallel to the line $y=\frac{1}{5}+4$ and passes through $(-2,2).$

$Let\ the\ equation\ of\ line\ is\ y=mx+c\\\\Since\ it\ is\ parallel\ to\ the\ line\ y=\frac{1}{5}x+4,\ the\ slope\ of\ both\ the\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{5}x+4\ is=\frac{1}{5}\\\\m=\frac{1}{5}\\\\Equation: y=\frac{1}{5}x+c\\\\It\ passes\ through\ (-2,2),\ This\ point\ will\ satisfy\ the\ equation.\\\\2=\frac{1}{5}\times (-2)+c\\\\c=2+\frac{2}{5}\\\\c=\frac{12}{5}\\\\The\ Equation\ is: y=\frac{1}{5}x+\frac{12}{5}$

You might be interested in

At a county fair there is a spinner game with 10 sectors: 2 red sectors, 2 green sectors, 3 blue sectors, and 3 yellow sectors.

krek1111 [17]

Let the token profit be X. For a win, the profit is 2 tokens. For a loss, the profit is -3 tokens. The probability of a win is 212+212+212=612=12 the probability of a loss is 612=12 Setting up a probability distribution variable gives: E(X)=(−3×12)+(2×12)=−112+1=−12 token Therefore, on average, the player would expect to lose a half a token per game.

5 0

3 years ago

Read 2 more answers

Find a formula for the nth term of the arithmetic sequence first term -17 common difference 5

hoa [83]

Given :-