Question

Please write an equation for the table below in slope intercept form

Answer 1

The equation for table in slope-intercept form is:

$y = 3x$

Step-by-step explanation:

The equation of line is given by:

$y = mx+b$

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)

$m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-3}{2-1}\\=\frac{3}{1}\\=3$

Putting the rate in the equation

$y = 3x+b$

Putting the point (1,3) in the equation

$3 = (3)(1) +b\\b = 3-3\\b = 0$

Hence,

The equation for table in slope-intercept form is:

$y = 3x$

Keywords: Equation of line, rate of change

Learn more about equation of line at:

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