Marcus plotted the points (0,0),(6,2),(18,6), and (21,7) on a graph. He wrote an equation for the relationship. Find another ordered pair that could be a solution of Marcus's equation.

Answer 1

The equation for this relationship is a linear equation (I even used linear regression to prove it lol).
To get the linear equation, we can look for the slope first.
m = (y2 - y1) / (x2 - x1)
where (x1,y1) and (x2,y2) are points on the line.
Taking two points, for instance, (0,0) and (6,2),
m = (2-0) / (6-0)
m = 2/6
m = 1/3
Then we plug in this value in the slope-intercept form:
y - y1 = m(x - x1)
Substituting,
y - 0 = 1/3(x - 0)
y = (1/3)x

Getting another point, for instance, for x = 1,
y = (1/3)(1)
y = 1/3

Therefore the point (1 , 1/3) is also a point on the line.

hope this helps~ `u`

Answer 2

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