Question

Write and equation that would create the graph of the line

Answer 1

we have two points (x, y): (0,1) and (1,3)

We can use the point-slope form

(y - y1) = m (x -x1)

The slope = m= (y2-y1)/ (x2-x1)

or

The slope-intercept form.

y = mx + b

m= (y2-y1)/ (x2-x1)

y-intercept is (0, b)

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Using The slope-intercept form,

y = mx + b

b = 1

point (0,1)

Replacing

y = mx + 1

finding the slope

point 1 (0, 1), x1= 0; y1= 1

point 2 (1, 3); x2= 1; y2= 3

m= (y2-y1)/ (x2-x1)

Replacing

m= ( 3- 2)/ (1 - 0) = 2/1 = 2

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Replacing the slope

y = 2x + 1

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Answer

y = 2x + 1