Question

x | y
0 | 3
2 | 11
4 | 19
6 | 27
8 | 35
write the equation that created this table.
options:
y = 4x + 3
y = 3x + 4
y = 3x
y = 8x + 3

Explanation:

Step1: Identify y-intercept (x=0)

When $x=0$, $y=3$, so $b=3$.

Step2: Calculate slope m

Use points $(0,3)$ and $(2,11)$:
$m=\frac{11-3}{2-0}=\frac{8}{2}=4$

Step3: Form linear equation

Substitute $m=4$, $b=3$ into $y=mx+b$:
$y=4x+3$

Step4: Verify with other points

For $x=4$: $y=4(4)+3=19$, matches the table.
For $x=6$: $y=4(6)+3=27$, matches the table.
For $x=8$: $y=4(8)+3=35$, matches the table.

Answer:

y = 4x + 3