During each second of braking, an automobile slows down by about 10 miles per hour

a.) Plot the points (0, 60) and (6, 0). Draw a line through the points. What do the points represent?

b.) What does the line represent?

c.) Write an equation of the line in slope-intercept form.

PLEASE HELP!!!! HURRY!

Respuesta :

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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