SOLUTION: the line contains the point (-2,3) and is perpedicular to y=2x+7. Find the equation and write answer in slope intercept form.

Question 250469: the line contains the point (-2,3) and is perpedicular to y=2x+7. Find the equation and write answer in slope intercept form.
Answer by actuary(112) (Show Source): You can put this solution on YOUR website!
The slope of the desired is -(1/2) since the desired line is perpendicular to the given line
So the equation of the desired line in slope intercept form is
y = -(1/2)x+b
Since the point (-2,3) is on the line, this information can be used to solve the equation for "b"
3=-(1/2)(-2)+b (Multiply -(1/2) times (-2) and then solve for b
So b = 1
So the equation is y = -(1/2)x+1

RELATED QUESTIONS
For the following problem, the slope and one point on a line is given. Use the... (answered by ewatrrr)

A line contains the point ( - 6, 7) and has a slope of . Write an equation of the line... (answered by ikleyn)

A line contains the point ( - 6, 7) and has a slope of . Write an equation of the line... (answered by ikleyn,greenestamps,josgarithmetic)

Find the equation of each line. Write the answer in slope-intercept form The line is... (answered by Mathtut,MRperkins)

Find the equation of each line. Write each answer in slope intercept form. The line is (answered by checkley77)

write an equation of the line satisfying the given conditions write the answer in... (answered by josgarithmetic)

find the equation of the line that contains point (8,-1) and is perpedicular to the line... (answered by checkley77)

write an equation in slope intercept form for the line described. contains the point... (answered by Alan3354)

Find the equation of each line. Write the answer in slope-intercept form. The line is... (answered by jim_thompson5910)