From the equation of line: y = mx + c
Given, y = -1/4x + 2 , The slope ( m ) = -1/4, intercept = 2
For the second one, y = x, the slope ( m ) = 1 and intercept is 0
To find the coordinate for the first equation, we need to
1.) find y when x = o
= y = -1/4( 0 ) + 2
= y = 0 + 2
y = 2
2.) Find x when y = 0
= 0 = -1/4x + 2
= 4 x 0 = -x + 2
= 0 = -x + 2
= -x = -2
= x = 2
Thus, the coordinate for the first question y = -1/4x + 2 is ( 0,2 ) ( 2,0 )
To find the coordinate for the second equation, y=x. we ...
1.) find y when x = 0
= y = 0
2.) find x when y = 0
= 0 = x
so x = 0
Thus, the coordinate for the second equation y=x is ( 0,0 ) ( 0,0 )
Plotting on the graph