Find the the equation of the line passing through the points (3,3) and (4, 5)

y = 2x - 3

Step-by-step explanation:

Given:

(3, 3) and (4, 5)

Solve:

Find the slope (m) between the two points:

m = (y2 - y1)/(y2 - 1)

(x1, y1) = (3, 3)

(x2, y2) = (4, 5)

m = (5 - 3)/(4 - 3)

= 2/1

m = 2

Slope-intercept form (y = mx + a):

y = 2x + a

To find a, plug in one of the points into the equation:

3 = 2(3) + a

3 = 6 + a

3 - 6 = a

a = -3

y = 2x - 3

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