The equation for table in slope-intercept form is:
[tex]y = 3x[/tex]
Step-by-step explanation:
The equation of line is given by:
[tex]y = mx+b[/tex]
Here m is the rate of change of the line and b is the y intercept
So,
Let us take 2 pairs of input and output
(x1,y1) = (1,3) and (x2,y2) = (2,6)
[tex]m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-3}{2-1}\\=\frac{3}{1}\\=3[/tex]
Putting the rate in the equation
[tex]y = 3x+b[/tex]
Putting the point (1,3) in the equation
[tex]3 = (3)(1) +b\\b = 3-3\\b = 0[/tex]
Hence,
The equation for table in slope-intercept form is:
[tex]y = 3x[/tex]
Keywords: Equation of line, rate of change
Learn more about equation of line at:
- brainly.com/question/2552014
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