Question

Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line.

4x + 7y + 4 = 7

Answer 1

`m=-(4)/(7)`

`b=(3)/(7)`

Explanation:

Slope intercept form of a line is

`y=mx+b` ... (1)

where, m is slope and b is y-intercept.

The given equation is

`4x+7y+4=7`

We need to find the slope intercept form of given line.

Subtract 4 from both sides.

`4x+7y=7-4`

`4x+7y=3`

Subtract 4x from both sides.

`7y=3-4x`

Divide both sides by 7.

`y=(3-4x)/(7)`

`y=(3)/(7)-(4)/(7)x`

Arrange the terms.

`y=-(4)/(7)x+(3)/(7)` .... (2)

Form (1) and (2) we get

`m=-(4)/(7)`

`b=(3)/(7)`

Therefore, the slope of the line is -4/7 and y-intercept is 3/7.