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]

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