Complete this table for $y = 4x - 2$ - OCR - GCSE Maths - Question 17 - 2019 - Paper 1
Question 17
Complete this table for $y = 4x - 2$.
| x | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| y | -2 | | | | |
On the grid below, draw the graph of $y = 4x -... show full transcript
Worked Solution & Example Answer:Complete this table for $y = 4x - 2$ - OCR - GCSE Maths - Question 17 - 2019 - Paper 1
Step 1
Complete this table for $y = 4x - 2$.
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Answer
To complete the table, we will calculate the values of y for each corresponding value of x using the equation y=4x−2:
For x=0: y=4(0)−2=−2 So,y=−2.
For x=1: y=4(1)−2=4−2=2 So,y=2.
For x=2: y=4(2)−2=8−2=6 So,y=6.
For x=3: y=4(3)−2=12−2=10 So,y=10.
For x=4: y=4(4)−2=16−2=14 So,y=14.
Thus, the completed table is:
x
0
1
2
3
4
y
-2
2
6
10
14
Step 2
On the grid below, draw the graph of $y = 4x - 2$ for values of $x$ from 0 to 4.
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Answer
To draw the graph of y=4x−2 for x values from 0 to 4, plot the points from the completed table:
Point (0, -2)
Point (1, 2)
Point (2, 6)
Point (3, 10)
Point (4, 14)
After plotting these points on the grid, connect them with a straight line extending from the left to the right to represent the linear equation. Make sure to label the axes with appropriate scales to show the range of y values correctly.
