SOLUTION: Draw a line that crosses both the x and y axes. a)Find the slope and y intercept of this line b)Write the equation in slope intercept form c)Rewrite the equation in standard for

Algebra ->  Algebra  -> Graphs -> SOLUTION: Draw a line that crosses both the x and y axes. a)Find the slope and y intercept of this line b)Write the equation in slope intercept form c)Rewrite the equation in standard for      Log On

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Question 54361: Draw a line that crosses both the x and y axes.
a)Find the slope and y intercept of this line
b)Write the equation in slope intercept form
c)Rewrite the equation in standard form
d)Draw a line that is perpendicular and write its equation
e)Draw a line that is perpendicuar to line in part d, write its equation
f)Draw a line tha tis perpendicular to line in part e, write its equation
g)What shape did you make with your graph?
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C200%2C-15.16126%2C15.16126%2C-10%2C10%2C%28-3%2F4%29x%2B3%29
(a)Find the slope and y intercept of this line.
slope m=-3/4 y-intercept (0,b)=(0,3)
:
(b)Write the equation in slope intercept form.
slope intercept form is highlight%28y=mx%2Bb%29 where m=slope and (0,b)= y-intercept:
y=%28-3%2F4%29x%2B3
:
c)Rewrite the equation in standard form.
Standard Form is highlight%28Ax%2BBy=C%29 where A,B,and C are integers, most books insist that A be positive.
y=-%283%2F4%29x%2B3
%283%2F4%29x%2By=%283%2F4%29x-%283%2F4%29x%2B3
%283%2F4%29x%2By=3
4%283%2F4%29x%2B4%28y%29=4%283%29
3x%2B4y=12
:
d)Draw a line that is perpendicular and write its equation
Perpendicular lines have slopes that are negative reciprocals of each other.
y=%284%2F3%29x%2B5
graph%28300%2C200%2C-15.16129%2C15.16129%2C-10%2C10%2C-%283%2F4%29x%2B3%2C%284%2F3%29x%2B5%29
:
e)Draw a line that is perpendicuar to line in part d, write its equation
y=-%283%2F4%29x%2B2
graph%28300%2C200%2C-15.16129%2C15.16129%2C-10%2C10%2C-%283%2F4%29x%2B3%2C%284%2F3%29x%2B5%2C-%283%2F4%29x%2B2%29
:
f)Draw a line that is perpendicular to line in part e, write its equation
y=%284%2F3%29x-2
graph%28300%2C200%2C-15.16129%2C15.16129%2C-10%2C10%2C%28-3%2F4%29x%2B3%2C%284%2F3%29x%2B5%2C%28-3%2F4%29x%2B2%2C%284%2F3%29x-2%29
:
g)What shape did you make with your graph?
A Rectangle, rectangles have perpendicular angles.
:
Try this yourself with a different line---it helps to see things develope and recognize equations as lines and rectangles. It gives algebra a purpose.
Happy Calculating!!!