Question

What is the slope of the line described by the equation 6X + 4y= 8

Answer 1

`\large\boxed{\text{The slope}\ m=-(3)/(2)}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation of a line in the standard form:

`6x+4y=8`

Convert to the slope-intercept form:

`6x+4y=8` subtract 6x from both sides

`4y=-6x+8` divide both sides by 4

`y=-(6)/(4)x+(8)/(4)`

`y=-(3)/(2)x+2`