SOLUTION: Find the equation of the line that passes through (-4, 6) and is parallel to the line 3x + 4y = -2

Algebra ->  Graphs -> SOLUTION: Find the equation of the line that passes through (-4, 6) and is parallel to the line 3x + 4y = -2       Log On


   

Question 1092553: Find the equation of the line that passes through (-4, 6) and is parallel to the line 3x + 4y = -2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
passes through (-4, 6) and
parallel to the line 3x+%2B+4y+=+-2
y=mx%2Bb
parallel lines have same slope m;so, find a slope first
3x+%2B+4y+=+-2
4y+=-3x+-2
y+=-%283%2F4%29x+-2%2F4
y+=-%283%2F4%29x+-1%2F2-> slope m=-%283%2F4%29
y=-%283%2F4%29x%2Bb....use given point to find y-intercept b
6=-%283%2F4%29%28-4%29%2Bb
6=-%283%2Fcross%284%29%29%28-cross%284%29%29%2Bb
6=3%2Bb
b=6-3
b=3
and, your equation is:y=-%283%2F4%29x%2B3