Multiple Choice Questions 1. What does a linear equation with a slope of zero lo
ID: 3105058 • Letter: M
Question
Multiple Choice Questions1. What does a linear equation with a slope of zero look like on a plane?
Answer :
A.vertical line
B.horizontal line
C. line passing through the origin
D. y-axis
2. Find equation of line passing through the points: (1, 4) parallel to the line 3x + y = 5
Answer :
A. y = -5x + 3
B. y = 3x + 5
C. y = -3x + 7
D. y = 3x - 9
3. Find the x and y intercepts of the equation x - y = 4.
Answer
A.(2, 2); (-2, -2)
B.(4, 0); (0, -4)
C. (4, 0); (0, 4)
D. ( -4, 0); (0, 4)
4. Find slope of line that passes through the points (2, -5) and (3,4)
Answer :
A. -1
B. 4
C. 5
D. 9
5. Find slope for the given equation of line: x + 4y = 8
Answer :
A. -1/4
B. 4
C. 1
D. -4
Explanation / Answer
1. B. horizontal line
2. C. y= -3x+7
3. B. (4, 0); (0,-4)
4. D. 9
5. A. -1/4
Explanations:
For 2: Put the equation in the form, y = mx + b, where m is the slope and b is the y-intercept.
Then use point slope form, y -y1 = m (x - x1) and plug in the slope value you have found (m = -3)and the points (x1= 1, y1=4) so you get y - 4 = -3 (x-1), then you just put it back in the form y = mx+b
For 3: The x and y intercepts are the points where the equation crosses the x-axis for the x-intercept and the y-axis for the y intercept. The points are when the other equals zero - for example when y = 0 the line is crossing the x axis because only the x has a value and vice versa. So to find the x -intercept you plug in 0 for y getting x - 0 = 4, so x =4 when y= 0 or (4,0) is the x-intercept. The same with the y-intercept you plug in 0 for x getting 0 - y = 4, so y = -4 when x = 0 or (0,-4) is the y-intecept
For 4: Solve the slope formula m=y1-y2/x1-x2 where the two points are (x1,y1) and (x2,y2)
For 5: Just get the equation into the form y=mx+b and whatever m is will be your slope
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