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Write the slope-intercept equation for the line that passes through (4, -9) and

ID: 3102006 • Letter: W

Question

Write the slope-intercept equation for the line that passes through (4, -9) and has slope -3/4. Please show all of your work.

Write the slope-intercept equation for the line that passes through (-5, 10) and (-4, 3). Please show all of your work.

Write the slope-intercept equation for the line that passes through (-12, 10) and is perpendicular to 4x + 6y = 3 Please show all of your work.

The average home value in a neighborhood in Michigan dropped from $265,000 in 2007 to $248,000 in 2009. Predict the average home price in 2012.


Thank you ALL for your help!!!
Eve

Explanation / Answer

1. eqn thru (4,-9) and slope, m = -3/4

y=mx + c
y=(-3/4)x + c
-9 = (-3/4) * 4 + c
or, c =-6

hence eqn is y=(-3/4) x -6

2. eqn thru (-5,10) and (-4,3)

y-y1 = (y2 - y1) (x -x1)
           ------------------
            (x2 -x1)

y - 10 = (3-10) (x - (-5))
             ------------------
                 ( -4 - (-5))

y -10 = -7 (x + 5)

              ------------

                1

y -10 = -7x -35

7x + y +25 =0

hence eqn is 7x + y +25 =0