Answer:
The y-intercept of the line graphed on grid (-2,7) and (6,1) is 5 .
Step-by-step explanation:
Given as :
The points on the grid is (-2,7) and (6,1)
So, The points as (
,
) = ( - 2 , 7 )
And (
,
) = ( 6 , 1 )
Let The slope for the given points on grid = m
So, The value of m can be find as
m = 
substitute the points
So, m = 
I.e m = 
Or, m = 
So, slope = m = - 1
Now, equation of line with slope points as
y -
= m × (x -
)
Or, y - 7 = ( -1 ) × (x - ( - 2) )
or, y - 7 = ( -1 ) × ( x + 2 )
or, y - 7 = - x - 2
or, y = - x - 2 + 7
∴ y = - x + 5
So, line equation is y = - x + 5
So, comparing with line equation of y = m x + c
where m is the slope of line , and c is the y-intercept
So, for the given points the y-intercept is 5
Hence The y-intercept of the line graphed on grid (-2,7) and (6,1) is 5 . Answer