SOLUTION: write equation of a perpendicular line in slope intercept form if y=2/5x-4 (-1,2)
Algebra.Com
Question 536042: write equation of a perpendicular line in slope intercept form if y=2/5x-4 (-1,2)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
write equation of a perpendicular line in slope intercept form if y=2/5x-4 (-1,2)
.
Slope of:
y=2/5x-4
is 2/5
.
A line perpendicular must have a slope that is the negative reciprocal:
(2/5)m = -1
m = -5/2 (this is the slope of the new line)
.
Plug slope (-5/2) and (1,2) into "point-slope" form:
y - y1 = m(x - x1)
y - 2 = (-5/2)(x - 1)
y - 2 = (-5/2)x + 5/2
y = (-5/2)x + 5/2 + 2
y = (-5/2)x + 5/2 + 4/2
y = (-5/2)x + 9/2 (this is what they're looking for)
RELATED QUESTIONS
1.Write the equation of a line in slope-intercept form that is perpendicular to the line (answered by richwmiller)
write an equation in slope intercept form of the line satisfying the given conditions.... (answered by Fombitz)
How do I write the equation of a line in slope-intercept form and standard form... (answered by nerdybill)
(1)Write the slope- intercept form of the equation of the line through (-1,2)that is... (answered by Nate)
Find an equation of the line that passes through (–3, 1) and is perpendicular to y =... (answered by rapaljer)
Write an equation in slope-intercept form for an equation of a line perpendicular to... (answered by Cromlix)
Write the equation of a line that has slope = (3/4) and passes through (4, –3); Write... (answered by longjonsilver)
write an equation in slope-intercept form for a line that is perpendicular to the line... (answered by josgarithmetic)
Write an equation in slope intercept form of a line perpendicular to y = - 1/3x - 8... (answered by saifoo.khan)