Answer: option D
The last option
Step-by-step explanation:
Which graph represents this system 2x-5y=-5
y=2x/5+1
Comparing the equation with the slope intercept equation, y= mx + c,
The slope,m = 2/5
From the graph, slope = (change in value of y)/ (change in value of x)
= (y2 - y1) / (x2-x1)
y2 = 1
y1 = 0
x2 = 0
x1 = 2.5
Slope, m =( 1-0)/(0 - - 2.5) = 1/(0+2.5)
= 1/2.5
Multiply numerator and denominator by 2
m= (1×2)/(2.5×2)
= 2/5
This corresponds to the slope of the equation given at the beginning.
