Question

Identify the slope and y-intercept of equation 2x+y= 4

Answer 1

The equation of a line can be written in the slope-intercept form given to be:

$y=mx+b$

where m is the slope of the line and b is the intercept on the y-axis.

The equation is given to be:

$2x+y=4$

To write the equation in the slope-intercept form, we can subtract 2x from both sides:

$\begin{gathered} 2x-2x+y=-2x+4 \\ y=-2x+4 \end{gathered}$

Therefore, the slope of the line is:

$m=-2$

and the y-intercept is:

$b=4$