SOLUTION: Directions: Find an equation of each line described. Write each equation in slope-intercept form (solved for y) when possible. Problem: Slope -4/7, through (-1,-2)

Algebra ->  Linear-equations -> SOLUTION: Directions: Find an equation of each line described. Write each equation in slope-intercept form (solved for y) when possible. Problem: Slope -4/7, through (-1,-2)      Log On


   

Question 885107: Directions: Find an equation of each line described. Write each equation in slope-intercept form (solved for y) when possible.
Problem: Slope -4/7, through (-1,-2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the slope-intercept formula
+%28+y+-%28+-2+%29+%29+%2F+%28+x+-%28+-1+%29+%29+=+-4%2F7+
+%28+y+%2B+2+%29+%2F+%28+x+%2B+1+%29+=+-4%2F7+
Multiply both sides by +7%2A%28+x+%2B+1+%29+
+7%2A%28+y+%2B+2+%29+=+-4%2A%28+x+%2B+1+%29+
+7y+%2B+14+=+-4x+-+4+
+7y+=+-4x+-+18+
+y+=+-%284%2F7%29%2Ax+-+18%2F7+
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check:
Does it go through ( -1, -2 ) ?
+y+=+-%284%2F7%29%2Ax+-+18%2F7+
+-2+=+-%284%2F7%29%2A%28-1%29+-+18%2F7+
+-2+=+4%2F7+-+18%2F7+
+-2+=+-14%2F7+
+-2+=+-2+