SOLUTION: A line passes through the point (1,3) and has a slope of 4. Write an equation for the line. Find the equation of the line that is perpendicular to the first line and passes throgh

Question 449344: A line passes through the point (1,3) and has a slope of 4. Write an equation for the line.
Find the equation of the line that is perpendicular to the first line and passes throgh (1,3).
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A line passes through the point (1,3) and has a slope of 4. Write an equation for the line.
Use the point/slope form to find this equation, (y - y1 = m(x - x1)
Where, in this equation, m=4, x1=1, y1=3
y - 3 = 4(x - 1)
y - 3 = 4x - 4
y = 4x - 4 + 3
y = 4x - 1, is the equation of this line
:
Find the equation of the line that is perpendicular to the first line and passes through (1,3).
The slope relationship of perpendicular lines: m1*m2 = -1
let m1 = 4, find m2
4*m2 = -1
Divide both sides by 4
m2 = , is the slope of the perpendicular line
:
Using the point/slope again, find the equation for the perpendicular line
y - 3 = (x - 1)
y - 3 = x +
y = x + + 3
y = x + +
y = x + , is the line perpendicular to y=4x-1 and passes thru point 1, 3
:
Graphically

Note that lines intersect at 1, 3
:
How about this; was it understandable to you? Any questions?

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