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Sept 2020: SK: 01: Gradient Form: Straight Lines: Mathematics
Con il contributo di: Chang
c =
m = 
Gradient Form:
y = mx+c
y-intercept
gradient
-3
-3
3
y
3
x
c =
m = 
Gradient Form:
y = mx+c
y-intercept
?
gradient
?
-3
-3
3
y
3
x
m = 
Gradient Form:
=
y = mx+c
y = 
gradient
2
2
x+
3
-3
-3
3
y
3
x
m = 
c =
Gradient Form:
=
y = mx+c
y = 
y-intercept
2
3
2
x+
3
-3
-3
3
y
3
x
m = 
c =
Gradient Form:
=
=
y = mx+c
y = 
y-intercept
gradient
5
x+
9
-3
-3
3
y
3
x
m = 
c =
Gradient Form:
=
=
y = mx+c
y = 
y-intercept
-3
gradient
1
x
-3
-3
-3
3
y
3
x
y-intercept
gradient
c 
y = 
m 
Gradient Form:
=
=
0.5
x
-3
-3
-3
3
y
3
x
y-intercept
gradient
c 
m 
Gradient Form:
=
=
y = 
-4
x
+5
-3
-3
3
y
3
x
y-intercept
y = 
gradient
c 
m 
Gradient Form:
=
=
4
-3
x
-3
-3
3
y
3
x
gradient
m 
Gradient Form:
=
rise
上下
run
rise
run
左右
-3
-3
3
y
3
x
gradient
m 
Gradient Form:
=
rise
run
-3
run
?
rise
?
-3
3
y
3
x
gradient
m 
=
Gradient Form:
=
rise
run
-3
4
?
6
-3
3
y
3
x
gradient
m 
=
Gradient Form:
=
rise
run
-3
-3
3
y
3
x
5
?
7
?
positive
Gradient Form:
gradient
y = 
5
x
-3
y
positive
x
gradient
negative 
Gradient Form:
gradient
y = 
-4
x
+5
y
gradient
negative 
x
m 
Gradient Form:
=
=
=
rise
-3
-3
3
y
3
positive
positive
gradient
x
4
?
gradient
8
?
negative 
=
m 
Gradient Form:
=
=
run
-3
-3
3
y
3
gradient
negative 
+
x
5
?
negative 
-
gradient
-5
?
y-intercept
c 
Gradient Form:
=
2
y
intercept on y - axis
x
y-intercept
y = mx+c
y = 
c 
=
Gradient Form:
2
x+
3
C
y
y - intercept
x
y-intercept
y = mx+
y = 
c 
=
Gradient Form:
2
x
-4
C
C
y
line equation
y = 
x
2
x
-4
REMEMBER
Look for
y =
0
x-intercept:
y
y = mx+
C
x
REMEMBER
Look for
y =
0
x-intercept:
y
y = mx+
C
x
y = 0
REMEMBER
y =
0
y
y = mx+
C
y-intercept
gradient 
at x-axis
x
y = 0
m
c = 0
= 0
gradient 
y-intercept:
y =
m
C
= 
=
y
y = mx+
x
C
x-intercepts
lies on
x-axis
Looking for
x-intercept:
y
y = mx+
x
C
x-intercepts
lies on
x-axis
y
y = mx+
x
C
y
y = mx+
x
C
x-axis
x-intercept
0
y
y = mx+
x
C
x-axis
x-intercept
1
0
y
1
y = mx+
x
C
x-axis
x-intercept
2
0
y
2
y = mx+
x
C
x-axis
x-intercept
-4
-4
0
y
y = mx+
x
C
x-axis
x-intercept
0
y
y = mx+
5
x
C
x-axis
x-intercept
Looking for
x-intercept:
y
y = mx+
x
x-axis
C
y = 
Find
2
x-intercept
x
for
-4
C
y
y = mx+
x
x-intercept
C
y = 
Find
REMEMBER
2
y =
x-intercept
x
for
-4
0
C
y
y = mx+
x
x-intercept
C
y = 
Find
=
y =
2
x-intercept
x
for
2
x
-4
0
-4
C
y
y = mx+
x
x-intercept
C
0
=
2
x
-4
inverse is 
4
0
y = 
Find
0
+
eliminating 
=
4
2
x-intercept
x
for
2
=
= 
x
-4
2
Add inverse
x
2
-4
x
-4
-4
+
C
y
y = mx+
x
C
0
y = 
eliminating
Find
0
eliminating 
+
=
4
2
4
x-intercept
x
for
2
=
= 
x
-4
4
2
2
-4
x
= 
2
x
-4
-4
2
x
+
4
x
=
C
y
y = mx+
x
C
0
y = 
eliminating
Find
eliminating 
-6
=
-6
3
x-intercept
x
for
=
= 
-6
+6
x
3
+
3
x
= 
3
+
x
+6
3
x
Add inverse
x
=
C
y
y = mx+
x
C
0
y = 
eliminating
Find
eliminating 
+
=
-2
x-intercept
for
=
x
= 
4
-4
x
+
= 
x
x
-2
-4
x
+
x
=
y
y = mx+
x
C
y-intercept
y = mx+
y = 
c 
Y-intercept:

x =0
=
2
x
-4
C
C
y
2
y = 
x
2
x
-4
y-intercept
y = mx+
y = 
c 
Y-intercept:

x =0
=
3
x
+2
C
Choose the correct y-intercept
.
.
y
.
.
y = 
x
3
x
+2
y-intercept
x-intercept:
c 
x
=
=
-4
2
-4
y
y-intercept
?
2
x
x-intercept
?
y-intercept
x-intercept:
Join the 2 intercepts
c 
x
=
=
-4
2
-4
y
y-intercept
2
y = 2x - 4
x
x-intercept
y-intercept
Straight Line
x-intercept:
Choose the CORRECT
for
y = 
x
c 
=
=
2
x+
gradient
3
m 
=
y
.
.
.
.
x
y-intercept
x-intercept:
Straight Line
Choose the CORRECT
for
y = 
c 
gradient
=
m 
x =
=
2
x
-4
y
.
.
.
.
x
y-intercept
x-intercept:
Straight Line
Choose the CORRECT
for
y = 
c 
gradient
=
m 
x =
=
4
x
00
y
.
.
.
.
x
y-intercept
x-intercept:
Straight Line
Choose the CORRECT
for
y = 
c 
=
gradient
x =
m 
3.5
=
1.17
-3
x
.
y
.
x
.
.
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