Question

The slope of the line 6x+5y=50 is​

Answer 1

Step-by-step explanation:

slope of ax+ by+c =0 is =-a/b

here , 6x+ 5y-50=0

slope = - 6/5

Answer 2

The slope of the given line will be $-\frac{6}{5}$

Given,

Line:

6x + 5y = 50.

To find,

The slope of this line.

Solution,

The slope-intercept form of a line is given as,

$y=mx+c$     ...(1)

Where,

m = slope of the line, and

c = intercept on y-axis.

Using this equation (1), the slope of a given line can be determined.

The given line here is,

$6x + 5y = 50.$

To find the slope, let's first convert it into the slope-intercept form.

So, on rearranging, we get,

$5y=-6x+50$

$\implies y=-\frac{6}{5} x+\frac{50}{5}$

$\implies y=-\frac{6}{5} x+10$

Now, on comparing the above equation with eq. (1), we can see that,

$slope=m=-\frac{6}{5}$

Therefore, the slope of the given line will be $-\frac{6}{5}$.