Review Sheet for Chapter 5
Write an equation in slope intercept form.
1. m: -8
b: 5
y = -8x +5
2. slope: -1
(0, -2)
y = -x -2
3. m =
(4, 5)
4. f(-5) = -6
f(2) = 3
y–5=
y -5 =
y=
(-5, -6)
m=
(2, 3)
Use slope
formula to find slope
y – 3 = (x -2)
( x -4)
y–3= x-
x+
x+
5.
x
-6
-3
0
y= x+
6.
y
14
8
2
m=-2
b=2
y = -2x +2
m=
x
y
1
-2 **You can use any
3
-1 point for point slope
5
0
7
1
y – 0 = (x -5)
y= x-
7.
8.
point on graph
( -2,1) and (1,3)
** Can’t tell what b value is
so we must use point slope form.
** We can tell what b is!!!!
m=-
m=
b=4
y – 3 = (x -1)
y=-
y -3 = x y= x+
Write an equation in standard form. REMEMBER NO FRACTIONS!
9. y = x –
4y = x – 3
(multiply by denominator)
-x +4y =-3
10. m =
(3, 3)
y – 3 = (x -3)
11. (-2,3) and ( 4, 5)
m=
y – 3 = x -2
y – 5 = (x – 4)
y = x +1
3y = 2x +3 (multiply by denominator)
-2x +3y = 3
y–5=
3y -15 = x -4 (no fraction)
- x +3y = 11
12. Write the equation of two parallel lines and two perpendicular lines in slope
intercept form.
Answers will vary but remember parallel lines have SAME slope
Perpendicular lines are opposite reciprocals HINT** Remember your FACTS
(Flip And Change The Sign)
Examples Parallel y = 2x +4 and y = 2x – 5 Perpendicular y = 3x -1 y =
-4
13. Write the equation of the line in standard form that is parallel to y + 5x = 2 and
passes through the point (3, 2). y = -5x +2
m = - 5 so the parallel slope is -5
y – 2 = -5 (x – 3)
y – 2 = -5x +15
5x +y = 17
14. Write the equation of the line in slope intercept form that is perpendicular
to y = -3x + 5 and passes through the point (3, -6).
m = -3 so perpendicular slope is m =
(FACTS)
y – (-6) = ( x - 3)
y +6 =
y=
Decide whether the equations are parallel, perpendicular or neither.
15. y = -4x +2
y = 4x -5
16. 2x – y = 10
y = 2x +6
17.
y=
-2x +3y = 21
***Hint**** Remember solve for y is equation is in standard form
Neither
Parallel
Perpendicular