Question

Use the table to write a linear function that relates y to x

Answer 1

Answer:

Therefore the linear equation required is $y = \frac{2}{3} x + 5$

Step-by-step explanation:

i) from the table we can take the linear function that relates y to x be such that y = mx + c

ii) we see that when x = 0 then y = 5. From this we can conclude that c = 5.

iii) therefore y = mx + 5.

iv) when x = -3 then y = 3, Therefore 3 =  -3m + 5, Therefore  $m = \frac{2}{3}$

v) therefore when x = 3 we get   $y = \frac{2}{3} x + 5 \Rightarrow y = \frac{2}{3} \times 3 + 5 \Rightarrow y = 2 + 5 = 7$

therefore the equation satisfies the third pair given

vi)  therefore when x = 6 we get   $y = \frac{2}{3} x + 5 \Rightarrow y = ( \frac{2}{3} \times 6 )+ 5 \Rightarrow y = 4 + 5 = 9$

therefore the equation satisfies the fourth pair given.

Therefore the linear equation required is $y = \frac{2}{3} x + 5$