## HOW TO FIND THE SLOPE OF LINE AX + BY = C , SLOPE OF LINE

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## How To find the slope of ax +by = c

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Given Equation is ax + by = c
Transferring the 1st term containing ‘x’ to R H S
by = c - ax
Dividing by b to find value of ‘y’
y = c/b - ax/b
y = -ax/b + c/b,

Cancelling the terms which are going to be cancelled
Rewriting the equation compatible to y = mx+c
we get , y = (-a/b)x +c/b
Compare this equation with y = mx+c
The slope of the given equation " ax + by = c " is m = -a/b
Hence the slope of given line is -a/b.

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Note :-So from this method we can say that slop of any line can be written as -(co eff of x /co eff of y)

Given Equation is ax + by = c

Transferring the 1st term containing ‘x’ to R H S

by = c - ax

Dividing by b to find value of ‘y’

y = c/b - ax/b

y = -ax/b + c/b,

Cancelling the terms which are going to be cancelled

Rewriting the equation compatible to y = mx+c

we get , y = (-a/b)x +c/b

Compare this equation with y = mx+c

The slope of the given equation " ax + by = c " is m = -a/b

Hence the slope of given line is -a/b.

#### Note :-So from this method we can say that slop of any line can be written as -(co eff of x /co eff of y)

## How To find the slope of x- Axis

As we know that ,The equation of X-axis is y=0

Rewriting this equation in standard form of y = mx+c

y = 0.x + 0,

Comparing it with standard form to get m = 0,

**⇒ The slope of x-axis is 0 (Zero)**

## How To find the slope of Y-Axis

As we know that ,The equation of X-axis is x = 0

Rewriting this equation in standard form of y = mx+c

0.y = 1.x + 0,

Comparing it with standard form to get m = 0,

**⇒ The slope of y-axis is 0 (Zero)**

## How To find the slope of 4x +3y = 10

Given Equation is 4x + 3y = 10

Transforming the 1st term which contains ‘x’ to R H S

3y = 10 - 4x

Dividing by 3 to find value of ‘y’

y = 10/3 - 4x/3

⇒ y = - 4x/3 + 10/3

Rewriting the equation compatible to y = mx+c

we get , y = (-4/3)x +10/3

Comparing this equation with y = mx+c

The slope of the given equation is m = -4/3

Hence the slope of given line is -4/3

Note simply by applying the formula ,we can calculate the slope of this line -(co eff of x/co eff of y) = -4/3

## How To find the slope of 2x -7y = -5

Given Equation is 2x - 7y = -5

Transforming the 1st term containing ‘x’ to R H S

- 7y = -5 - 2x

Dividing by -7 to find value of ‘y’

-7y/(-7) = -5/(-7) - (2/-7)x ,

Cancelling -ve sign of the num with -ve sign of den,we have

⇒ y = 2x/7 + 5/7

Comparing the above equation with y = mx+c

we get , y = (2/7)x +5/7,

The co eff of 'x' on the right hand side is the value of slope

The slope of the given equation is m = 2/7

Hence the slope of given line is 2/7

Simply by applying the formula ,we can calculate the slope of this line -(co eff of x/co eff of y) = -(-2)/(-7) = 2/7

## How To find the slope of √2x +√5y = 5

Given Equation is √2x +√5y = 3

Transforming the 1st term containing ‘x’ to R H S

√5y = 3 - √2x

Dividing by √5 to find value of ‘y’

√5y/(√5) = 3/(√5) - (√2/√5)x ,

Cancelling -ve sign of the num with -ve sign of den,we have

⇒ y = - (√2/√5)x +3/(√5)

Comparing the above equation with y = mx+c

we get , y = - (√2/√5)x +2/7,

The co eff of 'x' on the right hand side is the value of slope

The slope of the given equation is m = - (√2/√5)

Hence the slope of given line is - (√2/√5).

Thanks for devoting your precious time to this post How to find the slope of line when its equation is given,ax+by=c calculator, ax+by+c=0, meaning,ax+by+c=0 solve for y, ax+by=c given two points, ax+by=c what is c, slope formula,ax+by=c meaning,slope of a line formula,

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