5/3y=-(x-5) in slope intercept form

Required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]

What is slope ?

The slope of a line is a measure of the steepness and direction of the line. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or missing without using a compass.

The slope of any straight line can be calculated using two points on the line. The slope of the line formula calculates the ratio of "vertical change" to "horizontal change" between two different points on the line. In this article we will understand the slope finding method and its applications.

The slope of a line is defined as the change in the y-coordinate relative to the change in the x-coordinate of that line. The net change in the y-coordinate is Δy, while the net change in the x-coordinate is Δx. Thus, the change in the y-coordinate with respect to the change in the x-coordinate can be written as: m = Δy/Δx

Here given,Equation of line [tex] \frac{5}{3}y = - (x - 5)[/tex]

We want to find what is 5/3y=-(x-5) in slope intercept form ?

We want to simplify the equation.

[tex]5y = - 3(x - 5) \\ 5y = - 3x + 15 \\ y = \frac{ - 3x + 15}{5} \\ y = - \frac{3}{5} x + \frac{15}{5} \\ y = - \frac{3}{5} x + 3....(1)[/tex]

We know slope in line y = mx+c is m.

We are comparing equation (1) with y = mx + c and get [tex]m = - \frac{3}{5} [/tex]

Equation (1) is slope intercept form of 5/3y=-(x-5).

Therefore,required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]

Slope related one more question:

https://brainly.com/question/3605446

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Cnidarians are another major group of invertebrates. Jellyfish, coral, hydra and anemone are examples of cnidarians. They have soft bodies and no heads. They have stinging tentacles that they use for defense and to capture prey. Cnidarians have radial symmetry. That means that their parts are arranged around a center. If you were to draw a line to cut them in half in any direction, the two sides will always match. Radial symmetry is often a characteristic of more simple animals than bilateral symmetry, where there is only one line you could draw to make two sides match. With bilateral symmetry, different body parts may have different functions. With radial symmetry, the entire body may perform all life functions.

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