Plot the points (0, 60) and (6, 0).The graph is attached below
(0,60) is the initial point (starting point)
(6,0) is the final point (destination)
the line represents the distance covered over time
Equation of the line is [tex]y=-10x+60[/tex]
Given :
Automobile slows down by about 10 miles per hour
Plot the points (0, 60) and (6, 0)
Lets draw a line through the points .
The graph is attached below
The point (0,60) is the initial distance to travel
When time = 0 hours then distance is 60 miles
(6,0) represents
when times = 6 hours then distance is 0 miles
(0,60) is the initial point
(6,0) is the final point
The graph represents the distance travelled over time
the line represents the distance covered over time
Lets find equation of a line y=mx+b
where m is the slope and b is the y intercept
y intercept is (0,60) . so b=60
now find out slope m using two points
[tex](0,60) and (6,0)\\slope m=\frac{y_2-y_1}{x_2-x_1} =\frac{0-60}{6-0} =-10\\m=-10[/tex]
Equation of the line is [tex]y=-10x+60[/tex]
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