Answer:
The equation of the line is
2y=x+8
Step-by-step explanation:
This is a straight line graph.
And general equation of a straight is given by
y=mx+c
Where m is slope
c is the intercept on y axis at x=0
So at y=0, x=8. This is from the graph.
And inserting this value of y and x into the straight line equation
y=mx+c
0=-8m+c
Therefore, c=8m. Equation 1
Taking another point on the graph
at=0, y=4
Also, inserting this value of y and x into the straight line equation
4=0×x+c
4=0+c
Therefore, c=4.
Therefore the intercept is 4
From equation 1
c=8m c=4
Then m=c/8
m=4/8
m=1/2
Then the equations of then line is
y=mx+c
y=(1/2)x+4
Multiply through by 2
2y=x+8
The equation of the line is
2y=x+8
