SOLUTION: write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through (-2,1),perpendicular to the line y=4x-11

Algebra ->  Linear-equations -> SOLUTION: write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through (-2,1),perpendicular to the line y=4x-11      Log On


   

Question 55185: write an equation in slope-intercept form for the line that satisfies each set of conditions.
passes through (-2,1),perpendicular to the line y=4x-11
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
slope-intercept form
y=mx%2Bb
if a line is perpendicular to
+y=4x-11+
Then it's slope (m) is -1/4 (the opposite reciprocal)
and the point (x,y) on the line is (-2,1)
Plug these values in and solve for the y-intercept (b)
+y=mx%2Bb+
+1=%28-1%2F4%29%28-2%29+%2B+b+
+1+=+1%2F2+%2B+b+
+1%2F2+=+b+
write the equation again, this time with only the m and b values
+y+=+%28-1%2F4%29x+%2B+1%2F2+