SOLUTION: Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2). Show your work.

Question 823689: Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2). Show your work.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes which are negative reciprocals.

In the line y = 2x - 5,
the slope is 2

The perpendicular slope is -1/2

(4,-2) , m = -1/2 {point and slope}
y - y1 = m(x - x1) {point-slope form}
y - (-2) = (-1/2)(x - 4) {substituted point and slope into point-slope form}
y + 2 = (-1/2)x + 2 {used distributive property}
y = (-1/2)x {subtracted 2 from each side}

For more help from me, visit: www.algebrahouse.com

RELATED QUESTIONS
Write an equation in Slope-intercept form for the line that is perpendicular to the line... (answered by stanbon)

Write equation in slope-intercept form for the line that passes through (5, 0) and is... (answered by lmeeks54)

Write an equation in slope intercept form for the line that passes through (2,4) and is... (answered by oberobic)

write an equation in slope intercept form for th line that satisfies the following... (answered by mananth)

Write an equation in slope-intercept form for the line that is perpendicular to the line... (answered by josgarithmetic)

Write an equation in slope-intercept form for the line that is perpendicular to the line... (answered by ewatrrr)

Write an equation in slope-intercept form for the line that is perpendicular to the line... (answered by stanbon)

write an equation in slope-intercept form for the line that passes through (-4,3) and is... (answered by solver91311)

in slope intercept form write an equation for a line that is perpendicular to the line... (answered by solver91311)