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

Step-by-step explanation:

A line goes through the points (-2, 4) and (8, 9).  We see that x increases by 10 and y increases by 5.

Thus, the slope of this line is m = rise / run = 5/10 = 1/2    (the slope)

Starting with the point slope equation y - k = m(x - h) and substituting 9 for y, 8 for x and 1/2 for m, we get:

y - 9 = (1/2)(x - 8)   (point-slope form)

y       = (1/2)x + 5     (slope-intercept form)

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

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step-by-step explanation: