Answer:
Slope = -2
Y-intercept = 21
Step-by-step explanation:
Given:
Equation of line: [tex]2x+y=21[/tex]
To find slope and y-intercept.
Solution:
In order to find slope and y-intercept of the line, we will convert the equation into the slope intercept form which is given as:
[tex]y=mx+b[/tex]
where [tex]m[/tex] represents slope of line and [tex]b[/tex] represents y-intercept.
We have equation as : [tex]2x+y=21[/tex]
We will solve for [tex]y[/tex]
Subtracting both sides by [tex]2x[/tex]
⇒ [tex]2x-2x+y=-2x+21[/tex]
⇒ [tex]y=-2x+21[/tex]
Thus, the slope intercept form of the equation is given by:
[tex]y=-2x+21[/tex]
Comparing it with the slope intercept equation, we see that slope [tex]m=-2[/tex] and y-intercept [tex]b=21[/tex]. (Answer)
