Question

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

Answer 1

Answer:

$\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}$

Step-by-step 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

$y=-\dfrac{6}{4}x+\dfrac{8}{4}$

$y=-\dfrac{3}{2}x+2$