Direction: Determine the graphs of the given system of linear equations in two variables
ACTIVITY 2. GUESS MY GRAPHS
whether intersecting, coinciding and parallel using the standard form (Ax+By - C).
paan swer po
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Direction: Determine the graphs of the given system of linear equations in two variables
ACTIVITY 2. GUESS MY GRAPHS
whether intersecting, coinciding and parallel using the standard form (Ax+By - C).
paan swer po
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Determine the graphs of the given system of linear equations in two variables whether intersecting, coinciding and parallel using the standard form.
Problem 1:
1.a) x - y = 9
y = mx + b
-y = - x + 9
y = x - 9
m = 1
if y = 0;
y = mx + b
0 = x - 9
x = 9
x intercept (9, 0)
if x = 0
y = mx + b
y = 1(0) - 9
y = - 9
y intercept (0, -9)
plot the coordinates on the graph
x intercept (9, 0)
y intercept (0, -9)
1.b) x + y = 7
y = mx + b
y = - x + 7
m = -1
if y = 0;
y = mx + b
0 = -x + 7
x = 7
x intercept (7, 0)
if x = 0
y = mx + b
y = -1(0) + 7
y = 7
y intercept (0, 7)
plot the coordinates on the graph
x intercept (7, 0)
y intercept (0, 7)
Answer:
The graph have formed an intersecting lines
Problem 2:
2a.) 3x + 3y = 6
y = mx + b
3y = -3x + 6
y = - x + 2
m = -1
if y = 0;
y = mx + b
0 = - x + 2
x = 2
x intercept (2, 0)
if x = 0
y = mx + b
y = -1(0) + 2
y = 2
y intercept (0, 2)
plot the coordinates on the graph
x intercept (2, 0)
y intercept (0, 2)
2b.) x - y = 2
y = mx + b
-y = - x + 2
y = x - 2
m = 1
if y = 0;
y = mx + b
0 = x - 2
x = 2
x intercept (2, 0)
if x = 0
y = mx + b
y = 1(0)- 2
y = - 2
y intercept (0, -2)
plot the coordinates on the graph
x intercept (2, 0)
y intercept (0, -2)
Answer:
The graph have formed an intersecting lines
Problem 3:
3a.) x - 3y = 4
y = mx + b
-3y = -x + 4
y = 1/3x - 4/3
m = 1/3
if y = 0;
y = mx + b
0 = 1/3x - 4/3
4/3 = 1/3x
x = 4
x intercept (4, 0)
if x = 0
y = mx + b
y = 1/3(0) - 4/3
y = -4/3
y intercept (0, -4/3)
plot the coordinates on the graph
x intercept (4, 0)
y intercept (0, -4/3)
3b.) 3x = 12 + 9y
3x - 9y = 12 standard form
y = mx + b
9y = 3x - 12
y = 1/3x - 4/3
m = 1/3
if y = 0;
y = mx + b
0 = 1/3x - 4/3
x = 4
x intercept (4, 0)
if x = 0
y = mx + b
y = 1/3(0) - 4/3
y = -4/3
y intercept (0, -4/3)
plot the coordinates on the graph
x intercept (4, 0)
y intercept (0, -4/3)
Answer:
The graph coincides with each other.
Problem 4:
4a.) 2y = 5x - 10
-5x + 2y = -10
5x - 2 y = 10 standard form
y = mx + b
-2y = - 5x + 10
y = 5/2x - 5
m = 5/2
if y = 0;
y = mx + b
0 = 5/2x - 5
x = 2
x intercept (2, 0)
if x = 0
y = mx + b
y = 5/2(0) - 5
y = - 5
y intercept (0, -5)
plot the coordinates on the graph
x intercept (2, 0)
y intercept (0, -5)
4b.) 5x = 2y + 10
5x - 2y = 10 standard form
y = mx + b
2y = 5x - 10
y = 5/2x - 5
m = 5/2
if y = 0;
y = mx + b
0 = 5/2x - 5
x = 2
x intercept (2, 0)
if x = 0
y = mx + b
y = 5/2(0) - 5
y = - 5
y intercept (0, -5)
plot the coordinates on the graph
x intercept (2, 0)
y intercept (0, -5)
Answer:
The graph coincides with each other.
Problem 5:
5a.) 4x = -8 - 2y
4x + 2y = -8 standard form
y = mx + b
2y = -4x - 8
y = - 2x - 4
m = -2
if y = 0;
y = mx + b
0 = - 2x - 4
x = -2
x intercept (-2, 0)
if x = 0
y = mx + b
y = -2(0) - 4
y = -4
y intercept (0, -4)
plot the coordinates on the graph
x intercept (-2, 0)
y intercept (0, -4)
5b.) 2y = 8 - 4x
2y + 4x = 8
4x + 2y = 8 standard equation
y = mx + b
2y = -4x + 8
y = - 2x + 4
m = -2
if y = 0;
y = mx + b
0 = - 2x + 4
x = 2
x intercept (2, 0)
if x = 0
y = mx + b
y = -2(0) + 4
y = 4
y intercept (0, 4)
plot the coordinates on the graph
x intercept (2, 0)
y intercept (0, 4)
Answer:
The graph have formed parallel lines
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