A coordinate plane with a line passing through points (1, 2) and (4, 4)

The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.

y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +

1 answer

The slope of the line passing through points (1, 2) and (4, 4) is (4-2) / (4-1) = 2/3.

So, the formula for a line passing through (1, 2) with slope 2/3 is:
y - y1 = m(x - x1)
y - 2 = 2/3(x - 1)

Therefore, the formulas that represent the line that is graphed are:
y - 2 = 2/3(x - 1)
f(x) = 2/3x + 2