SOLUTION: Given: y=2x-3 Find the y-intercept. Find the x-intercept. Find The Slope. Graph your equation. Draw a line parallel to your given line. What is the equation of the line you d

Algebra ->  Test -> SOLUTION: Given: y=2x-3 Find the y-intercept. Find the x-intercept. Find The Slope. Graph your equation. Draw a line parallel to your given line. What is the equation of the line you d      Log On


   

Question 1205828: Given: y=2x-3
Find the y-intercept.
Find the x-intercept.
Find The Slope.
Graph your equation.
Draw a line parallel to your given line.
What is the equation of the line you drew?
Explain how you know the line you drew is parallel to your given line.
Draw a line perpendicular to your given line.
What is the question of the line you drew?
Explain how you know the line you drew is perpendicular to your given line.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Given: y=2x-3

Find the y-intercept.
compare your equation to slope intercept form y=mx%2Bb where m is a slope and b is y-intercept
so, m=2 and b=-3
y-intercept is-3
or, you can find it this way
set x=0
y=2%2A0-3
y=-3
y-intercept is at (0,-3)

Find the x-intercept.
set y=0
0=2x-3
3=2x
x=3%2F2
y-intercept is at (3%2F2,0)
Find The Slope.
m=2
or use intercept points (0,-3) and (3%2F2,0) to calculate slope
m=%280-%28-3%29%29%2F%283%2F2-0%29
m=3%2F%283%2F2%29....simplify
m=1%2F%281%2F2%29
m=2
Graph your equation.

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-3%29+

Draw a line parallel to your given line.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-3%2C2x%29+

What is the equation of the line you drew?
it could be a line y=2x
Explain how you know the line you drew is parallel to your given line.
a line parallel to your given line will have same slope

Draw a line perpendicular to your given line.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-3%2C+2x%2C+-%281%2F2%29x%29+

What is the question of the line you drew?
y=-%281%2F2%29x
Explain how you know the line you drew is perpendicular to your given line.
a line perpendicular to your given line will have a slope negative reciprocal to a slope of given line