Algebra 1 Notes
Name____________
5.4 Write Linear Equations in Standard Form
What is STANDARD FORM of a linear equation?
 STANDARD FORM is
as long as the following conditions are met:
1.
2.
3.
This means I will not see
4.
Write the following equations in Standard Form. State the values of A, B, and C.
2. 4x = 8
1. 3y = 7
1
4
3. y =
3
5
4. 5x + 10y = 20
7. y = !2x ! 3
5. !3x + 9y = 27
8.
3
4
y+
2
3
x =2
6. 12x ! 8y = 16
9. 2y =
1
4
x !2
Write an equation in Standard Form of a line that satisfies the given conditions:
10. passes through (5, !2) and
11. passes through (!6,10) and
has a slope of m =
2
3
12. passes through (2,2) and (4, !2)
has a slope of m = !
5
2
13. passes through (3, 5) and (!4, 8)
Find the missing coefficient if the line passes through the given point:
14. Ax + 3y = 5, (2, !1)
15. 8x + By = 4, (!5, 4)
Algebra 1
5.4 Homework
Name_____________
Are the following equations in Standard Form? Circle yes or no.
standard Form and state the values of A,B,and C
yes no
A=
!3x + 2y = !5
1.
If not, rewrite in
B=
C=
2.
4x + 2y = 7
yes
no
A=
B=
C=
3.
x=4
yes
no
A=
B=
C=
4.
4x + 2y =
yes
no
A=
B=
C=
2
7
Rewrite the following in Standard Form:
!6x + 7y = !9
5.
7.
3y = !21x ! 12
6.
5x + 10y = 25
8.
4y =
1
5
x +3
Write the following linear equations in Standard Form:
9. passes through (!4, !4) and m = !
3
2
11. passes through (10, 6) and (!12, !5)
10. passes through (!8, 0) and m =
3
4
12. passes through (!8, 4) and (4, !4)