what is the equation of the line graphed above ?
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Answer:
Step-by-step explanation:
Equation of a line is given as
y=mx+c
Where,
m is the slope of the graph
c is the intercept on y axis at x=0
So, from the graph given
At x=0, y=-5
Then, inserting this into equation of a line
y=mx+c
-5=m×0+c
Then, -5=0+c
c=-5
Also, at y=0, x=2
Inserting into equation of a line
y=mx+c. , since c=-5
0=2m-5.
2m=5
Then, m=5/2
So the equation of the line becomes
y=mx+c. , m=5/2 and c=-5
y=5x/2 - 5
Multiply through by 2
2y = 5x - 10.
This is the required equation of the line.