Answer:
y = (2/3)x - 1
Explanation:
By refering the graph, we can see that y-intercept(b) = (a point of the y-axis) which is -1.
the coordiates i have taken:
(-3 , -3) ------ (-3 =x1, -3 =y1)
and
( 3, 1 ) --------( 3 = x2, 1 = y2)
To find slope,
slope(m) = rise/run = ( y2 - y1 ) / ( x1 - x2 )
=> ( 1 - (-3) ) / ( 3 - (-3) ) -----( negative × negative = positive. Hence the signs are positive. )
=> ( 1 + 3 ) / ( 3 + 3 )
=> 4 / 6
=> 2 / 3 ------(simplied after numerator and denominator got divided by 2)
now,
b = -1
m = 2/3
x = x ----(x remains same)
Therefore,
y=> mx + b
by substituting the values, we get,
y=> (2/3)x - 1