SOLUTION: state the equation (in slope-intercept form) of the line that passes through (-10,8) and is perpendicular to the line y=5/2x-17
Algebra.Com
Question 227558: state the equation (in slope-intercept form) of the line that passes through (-10,8) and is perpendicular to the line y=5/2x-17
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We can see that the equation has a slope and a y-intercept .
Now to find the slope of the perpendicular line, simply flip the slope to get . Now change the sign to get . So the perpendicular slope is .
Now let's use the point slope formula to find the equation of the perpendicular line by plugging in the slope and the coordinates of the given point )
.
Start with the point slope formula
Plug in , , and
Rewrite as
Distribute
Multiply
Add 8 to both sides.
Combine like terms.
So the equation of the line perpendicular to that goes through the point is .
Here's a graph to visually verify our answer:
Graph of the original equation (red) and the perpendicular line (green) through the point .
RELATED QUESTIONS
WRITE THE EQUATION in slope intercept form of the line that is perpendicular to y=-5x+2... (answered by mananth)
What is the equation of the line in slope–intercept form that passes through the point... (answered by stanbon)
What is the equation of the line in slope-intercept form that is perpendicular to the... (answered by mathsolverplus)
write in slope-intercept form the equation of the line that passes through the given... (answered by mananth)
Write equation in slope-intercept form for the line that passes through (5, 0) and is... (answered by lmeeks54)
Find the equation of a line, in slope-intercept form of a line that passes through the... (answered by josgarithmetic)
write an equation in slope intercept form of the line that passes through (-7,2) and is... (answered by josgarithmetic,greenestamps)
write the equation of the line that passes through (10,-4) and is perpendicular to y=5x + (answered by stanbon)
Write the equation in slope intercept form of the line that is perpendicular
To 3x + 4y (answered by josgarithmetic)