Question

Write an equation that represents the line.

Answer 1

Step-by-step explanation:

a general line equation is

y = ax + b

"a" being the slope is the line, "b" being the y-intercept (the y value when x = 0).

we see from the 2 marked points (by we could choose any points on the line) that

y changes by 2 units, when x changes by 3 units.

so the slope is 2/3.

we use one point (1, 2) to solve for b

2 = 2/3 × 1 + b = 2/3 + b

6/3 = 2/3 + b

4/3 = b

and the full equation is

y = 2/3 x + 4/3