Aline goes through the points (8,9 and (-2,4) (a)what is the slope of the line? show your work (b)write the equation of the line in point-slope form. show your work (c)write the equation of the line in slope-intercept form. show your work.

The answers are as follows:

a) 1/2

b) y - 9 = 1/2(x - 8)

c) y = 1/2x + 5

Step-by-step explanation:

To find the slope of this line, we use the slope formula.

m (slope) = (y2 - y1)/(x2 - x1)

m = (4 - 9)/(-2 - 8)

m = -5/-10

m = 1/2

Now that we have the slope, we can use that and either point to write in point-slope form.

y - y1 = m(x - x1)

y - 9 = 1/2(x - 8)

Finally, to get the slope intercept form of the line, take the point slope form and solve for y.

y - 9 = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x + 5

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

step-by-step explanation: