write the linear equation that\nx\ty\n1\t63\n2\t66\n5\t75\n11\t93\nwrite your answer as an equat

Explanation:

Step1: Calculate slope $m$

Use points $(1,63)$ and $(2,66)$: $$m = \frac{66-63}{2-1} = 3$$

Step2: Find y-intercept $b$

Substitute $x=1, y=63, m=3$ into $y=mx+b$: $$63 = 3(1) + b \implies b = 60$$

Step3: Form linear equation

Combine $m=3$ and $b=60$: $$y = 3x + 60$$ Verify with other points: For $x=5$: $y=3(5)+60=75$ (matches) For $x=11$: $y=3(11)+60=93$ (matches)

Answer:

$y = 3x + 60$