3x + 5y = 10
5y = -3x + 10
y = -3/5x + 2
y = 2x + 7
y - 2x = 7
-2x + y = 7
2x - y = - 7
12x + 6 y = 24
y = - 2x + 4
if y = 0
0 = -2x + 4
x = 2
if x = 0
y = - 2(0) + 4
y = 4
m = -2 is a negative slope which denotes that the line is decreasing from left to right
(2, 0) (0,4)
(2, 0) (0,4) plot these coordinates in the graph. the line drawn will passed through these pts and you will get that the answer is D
y = 3x + 2
0 = 3(x) + 2
x = -2/3
y = 3(0) +2
y = 2
(-2/3, 0)(0, 2)
slope m = 3 is a positive slope which denotes that the line is increasing from left to right
The closes graph on the choices is letter C
(-2/3, 0)(0, 2) plot these coordinates in the graph. the line drawn will passed through these pts and you will get that the answer is C
y = mx + b
y = -4/3x + 4
m = - 4/3 is a negative slope which denotes that the line is decreasing from left to right
(3, 0) (0, 4)
(3, 0) (0, 4) plot these coordinates in the graph. the line drawn will passed through these pts and you will get that the answer is B
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Answers & Comments
1.) What is the slope intercept form of the equation 3x + 5y = 10?
Solution:
3x + 5y = 10
5y = -3x + 10
y = -3/5x + 2
Answer:
y = -3/5x + 2
2.) Which among the equations is the correct way of writing y = 2x + 7 into the standard form Ax + By = C?
Solution:
y = 2x + 7
y - 2x = 7
-2x + y = 7
2x - y = - 7
Answer:
2x - y = - 7
3.) Which graph shows the linear equation 12x + 6y = 24?
Solution:
12x + 6 y = 24
y = - 2x + 4
if y = 0
0 = -2x + 4
x = 2
if x = 0
y = - 2(0) + 4
y = 4
m = -2 is a negative slope which denotes that the line is decreasing from left to right
(2, 0) (0,4)
Answer:
(2, 0) (0,4) plot these coordinates in the graph. the line drawn will passed through these pts and you will get that the answer is D
4.) Which among the graph contains the slope and a point of the equation y = 3x + 2?
Solution:
y = 3x + 2
if y = 0
0 = 3(x) + 2
x = -2/3
if x = 0
y = 3(0) +2
y = 2
(-2/3, 0)(0, 2)
slope m = 3 is a positive slope which denotes that the line is increasing from left to right
Answer:
The closes graph on the choices is letter C
(-2/3, 0)(0, 2) plot these coordinates in the graph. the line drawn will passed through these pts and you will get that the answer is C
5.) Which of the graphs has a negative slope and x and y intercepts 3 and 4 respectively?
Solution:
y = mx + b
y = -4/3x + 4
m = - 4/3 is a negative slope which denotes that the line is decreasing from left to right
(3, 0) (0, 4)
Answer:
(3, 0) (0, 4) plot these coordinates in the graph. the line drawn will passed through these pts and you will get that the answer is B
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