SOLUTION: A line is perpendicular to the line y=2x +3 and has the same x-intercept as x+3y+10=0 Find the equation of this line. Express your answer in the form y=mx+b

Question 755509: A line is perpendicular to the line y=2x +3 and has the same x-intercept as x+3y+10=0
Find the equation of this line. Express your answer in the form y=mx+b
Answer by pragya.ban@gmail.com(32) (Show Source): You can put this solution on YOUR website!
A line is perpendicular to the line y=2x +3 and has the same x-intercept as x+3y+10=0
Find the equation of this line. Express your answer in the form y=mx+b

To make things similar, let's change x+3y+10=0 to y=mx+b form:

x+3y=-10
3y=-x-10
y=-x/3-10/3

Now we want the line to be perpendicular to y=2x+3. Perpendicular lines have negative reciprocol slopes of each other. So for the line we want, the slope has to be -1/2. We also know that the y intercept has to be -10/3 since that is what it told us. So the equation should be:

y=-1/2x-10/3

Hope this helps!
RELATED QUESTIONS
the slope-intercept form of the equation of the line that passes through: (0,-4) and is... (answered by Edwin McCravy)

The graph of f is perpendicular to the line whose equation is 2 x - 3 y + 9 = 0 and has... (answered by lwsshak3)

A line is perpendicular to 5x+2y-8=0 and has the same y intercept as x+4y-12=0. Find the (answered by Boreal)

Find the equation of the line if it is perpendicular to the line 3x - 4y = 12 and has the (answered by checkley75)

HI please help me with this question Find an equation of the line that is... (answered by ilana)

Find the equation of a line perpendicular to 4x-3y+12=0 that has the same x intercept as... (answered by lwsshak3)

Determine the Standard Form Equation of a line that has the same x-intercept as y = 1/2x (answered by lwsshak3)

Write an equation of the line perpendicular to the line given by 2x+3y=7 and having the... (answered by josgarithmetic)

Can you help? Determine the equation of a line, instandard form,that has the same... (answered by solver91311,edjones)