This can be determined by the concept of straight line. [tex]\bold{y=-2x+17}[/tex] is the slope-intercept form of [tex]2x+y=17[/tex].
Given: 2x + y = 17
As, we know that,
Equation of line is,
[tex]\bold{y=mx+c}[/tex]
Where, 'm
' gives the slope/gradient of the line and 'c'
gives y-intercept.
From the given equation,
[tex]2x+y=17[/tex]
Solve it further , we get,
[tex]\bold{y=-2x+17}[/tex]
This is the slope-intercept form of [tex]2x+y=17[/tex].
Here, comparing this with [tex]y=mx+c[/tex], we get
m= -2 ( slope/gradient) and c= 17 (y-intercept)
So, slope / gradient of line : m= -2.
For further details, please refer this link:
https://brainly.com/question/11824567
