1. Writing Equations of Lines
Exit Ticket

2. 1) Write the equation of a line parallel to y=2x+9 that passes through (4,7).
First find the slope!!!!
The slope given is 2. Since the equation must be parallel the slope used must be 2.

3. 1) Write the equation of a line parallel to y=2x+9 that passes through (4,7).
Therefore m=2 and the point (4,7) are x and y respectively.
Substitute y, m, and x in y=mx+b.
7=2(4)+b (Note that the letter b stays in the equation. 9 is not used.)
Use this to find the new b!

4. 1) Write the equation of a line parallel to y=2x+9 that passes through (4,7).
Use this to find the new b! 7=2(4)+b (Note that the letter b stays in the equation. 9 is not used.) 7 = 8+b = b

5. 1) Write the equation of a line parallel to y=2x+9 that passes through (4,7).
What is our new b??? b=-1

6. b=-1 So our equation is… y= 2x+ -1
1) Write the equation of a line parallel to y=2x+9 that passes through (4,7).
b=-1
So our equation is…
y= 2x+ -1
m b

7. m= - ¼ perpendicular m= + 4
2) Write an equation that is perpendicular to y= -1/4 x+1 and goes through ( 4,2).
First find the slope!!!!
The given slope is -1/4.
What is the perpendicular slope??????
m= - ¼ perpendicular m= + 4

8. With m= 4 and the point (4,2) we can write the equation.
2) Write an equation that is perpendicular to y= -1/4 x+1 and goes through ( 4,2).
With m= 4 and the point (4,2) we can write the equation.
Write the formula y=mx+b.
Then substitute y, m, and x and then solve for the new b.

9. With m= 4 and the point (4,2) we can write the equation.
2) Write an equation that is perpendicular to y= -1/4 x+1 and goes through ( 4,2).
With m= 4 and the point (4,2) we can write the equation.
Then substitute y, m, and x and then solve for the new b.
y=mx+b
2=4(4)+b

10. 2) Write an equation that is perpendicular to y= -1/4 x+1 and goes through ( 4,2).
y=mx+b
2=4(4)+b
2 = 16+b
14=b

11. B=4 So our equation is… y= 4x+ -14
2) Write an equation that is perpendicular to y= -1/4 x+1 and goes through ( 4,2).
B=4
So our equation is…
y= 4x+ -14
m b