The slope of the line shown in the graph is 50, the correct option is A.
What is the standard equation of a line?
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y-intercept.
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The y-intercept of the graph is 150 miles
The slope has to be determined for the graph.
The two points on the graph are,
In 1 day the car travels 200 miles ( 1, 200 )
In 3 days the car travels 300 miles ( 3, 300 )
m = ( 300 -200) / (3-1)
m = 100 / 2
m = 50
The slope of the line shown is 50.
The slope gives the car mileage, the car mileage is 50 miles/ day.
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