SOLUTION: The line through (0, -1) that is perpendicular to 2x

SOLUTION: The line through (0, -1) that is perpendicular to 2x - 5y = 10

Question 78305This question is from textbook
: The line through (0, -1) that is perpendicular to 2x - 5y = 10 This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The line through (0, -1) that is perpendicular to 2x - 5y = 10
:
First find the slope by putting 2x - 5y = 10 in the slope/intercept form:
y = mx + b is the form we want
:
2x - 5y = 10
-5y = -2x + 10
5y = 2x - 10; multiplied by -1 to make y positive
y = (2/5)x - 10/5; divided both sides by 5
y = (2/5)x - 2,
:
The slope is 2/5; let m1 = 2/5
;
The relationship of the slopes of perpendicular lines are: m1*m2 = -1
Find m2:
(2/5)*m2 = -1
m2 = -5/2 is the slope of the perpendicular line.
:
Find the perpendicular line using the point/slope equation; y - y1 = m(x - x1)
Given that x1 = 0, y1 =-1; and we found m2 = -5/2
:
y - (-1) = (-5/2)(x - 0)
:
y + 1 = -(5/2)x
:
y = -(5/2)x - 1; Subtract 1 from both sides, this is the perpendicular line
:
Did this make sense to you?
RELATED QUESTIONS
What is a line parallel to the line 3x+4y+8=0 with a y-intercept of 4? What is a line... (answered by josgarithmetic)

Through (−1, −2);perpendicular to the line 2x + 5y + 1 = 0. What equation... (answered by ewatrrr)

Through the point (2,4) and perpendicular to the line whose equation is... (answered by josgarithmetic)

Through the point (2,4) and perpendicular to the line whose equation is... (answered by solver91311,josgarithmetic)

Write the equations of the lines that pass through the point and are (a) parallel and (b) (answered by lwsshak3)

Please help me solve this: The equation of line l1 is 2y−5x−1 = 0. Line l2 is... (answered by josgarithmetic)

Find the equation of a line perpendicular to 2x-5y=10 passes through the points... (answered by ReadingBoosters)

The equation of the line that goes through the point (7,7) and is perpendicular to the... (answered by Ave)

Write each equation in slope-intercept form: 1. 10 - x - 2y = 0 2. y + 8 = -3/4 (x+1) (answered by fanism)