Find the equation of the line parallel to the graph of 4x-5y=-1 that contains the point (1,3)

Mathematics

1 answer:

rewona [7]2 years ago

4 0

Answer:

To find the equation of the line parallel to the graph, first of all find the slope of the graph by making y the subject of the formula and comparing the resulting equation with y = mx + c , knowing fully well that m stands for the slope.

So, from the equation of the graph give, y = 4x/5 +1/5, therefore the slope is 4/5. For a line to be parallel to the graph then they must have the same slope, to find the equation of the line at the given point, then we use the formula

y - y1 = m ( x - x1 )

y - 3 = 4/5 ( x - 1 )

multiply through by 5

5( y - 3 ) = 4 ( x - 1)

5y - 15 = 4x - 4

5y - 4x = - 4 + 15

so, 5y - 4x = 11 is the equation

Step-by-step explanation:

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this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural w

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<h3>What is number system?</h3>

A system of writing numbers is known as a number system.
It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Now,

Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.