Lesson 3.5
3.5 The equation of a straight line y = mx + c and y – y1 = m (x – x1) and other forms Quiz: AQA Further Maths, Unit 3
20 questions
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Lesson 3.5, The equation of a straight line y = mx + c and y – y1 = m (x – x1) and other forms: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 3: Coordinate Geometry (2 dimensions only), written with Revision Ninja.
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The 20 questions
-
In the straight-line equation y = mx + c, what does c represent?
- The x-intercept
- The origin
- The y-intercept
- The gradient
-
In the straight-line equation y = mx + c, what does m represent?
- The y-intercept
- The x-intercept
- The gradient
- The area
-
Write the equation of the line with gradient 4 and y-intercept -3.
- y = 4x - 3
- y = -3x + 4
- y = x/4 - 3
- y = 4x + 3
-
Which form matches the line through (2, 7) with gradient 3, using y - y1 = m(x - x1)?
- y - 7 = 3(x - 2)
- y - 7 = 3(x + 2)
- y + 7 = 3(x + 2)
- y - 2 = 3(x - 7)
-
Find the equation of the line through (0, 5) and (2, 9).
- y = 2x - 5
- y = x + 5
- y = 4x + 5
- y = 2x + 5
-
What is the y-intercept of 2x + 3y = 12?
- 12
- -4
- 4
- 6
-
What is the gradient of 4x - 2y = 8?
- 2
- -2
- 4
- -4
-
Which is the equation of the line through (1, 3) and (3, 7)?
- y = 2x + 3
- y = 2x + 1
- y = 3x - 1
- y = x + 2
-
Write 2x + 5y - 10 = 0 in the form y = mx + c. What is c?
- 2
- -2
- 5
- -10
-
Which line is parallel to y = -4x + 1 and passes through the origin?
- y = -4x
- y = 4x
- y = -4x + 1
- y = -x/4
-
At what point does y = 3x - 6 cross the x-axis?
- (-6, 0)
- (0, -6)
- (3, 0)
- (2, 0)
-
A plumber charges a 40 pound call-out fee plus 15 pounds per hour. Which equation gives the cost C for h hours?
- C = 15h + 40
- C = 40h + 15
- C = 15h - 40
- C = 55h
-
On a distance-time graph with equation y = 60x, what quantity does the gradient 60 represent?
- Acceleration
- Speed
- Distance
- Time
-
A line passes through (-2, 1) with gradient -1/2. Which point also lies on it?
- (2, -1)
- (-4, 1)
- (2, 1)
- (4, -1)
-
Find the equation of the line with gradient -2 through (3, -1).
- y = -2x + 5
- y = -2x - 1
- y = -2x + 3
- y = 2x - 7
-
Which equation describes a horizontal line through (0, -4)?
- y = -4x
- y = 0
- y = -4
- x = -4
-
A line passes through (1, 2) and (3, 8). Which form has integer coefficients and matches it?
- 3x - y = 1
- 3x + y = 5
- 3x - y = -1
- x - 3y = -5
-
The line y = mx + 3 passes through (4, 11). Find m.
- -2
- 2
- 8
- 3.5
-
Line l: 2y = x + 6 meets line m: y = kx - 1 at x = 2. Find k.
- 2
- -2.5
- 3
- 2.5
-
Where does y = 2x - 4 meet y = -x + 5?
- (2, 3)
- (3, -2)
- (3, 2)
- (-3, 2)
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