Question

Write an equation that represents the line.

Use exact numbers.

First point (1,2)
Second point is (4,4)

Answer 1

Find the slope using slope formula
Y2-y1 / x2-x1
4 - 2 / 4 - 1
2/3

Verify using diagram

Find equation using point slope form
Y-y1 = m(x - x1)
y - 2 = 2/3(x - 1)
y - 2 = 2/3x - 2/3
y - 6/3 = 2/3x - 2/3
y = 2/3x + 4/3

Verify by plugging in second coordinate

4 = 2/3*4 + 4/3
4 = 8/3 + 4/3
4 = 12/3
4 = 4

Answer 2

Answer: equation y= 3/2x+ 4/3