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 ( [tex]x_1[/tex] , [tex]y_1[/tex] ) = ( - 2 , 7 )
And ( [tex]x_2[/tex] , [tex]y_2[/tex] ) = ( 6 , 1 )
Let The slope for the given points on grid = m
So, The value of m can be find as
m = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
substitute the points
So, m = [tex]\dfrac{1-7}{6-(-2)}[/tex]
I.e m = [tex]\dfrac{1-7}{6+2}[/tex]
Or, m = [tex]\dfrac{-8}{8}[/tex]
So, slope = m = - 1
Now, equation of line with slope points as
y - [tex]y_1[/tex] = m × (x - [tex]x_1[/tex] )
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
