Question

question 1 pts
which is the graph of the line $y - 2 = 3(x - 1)$?
a
(-1, -2)
o
2
x
b
(-2, -3)
-4 -2 o 2
x
c
(-2, -1)
-4 o 2
x
y
2
-2
d
(1, 2)
-2 o 2
x
y
2
-2

Explanation:

Step1: Identify point-slope form

The equation $y - 2 = 3(x - 1)$ is in point-slope form $y - y_1 = m(x - x_1)$, where $(x_1, y_1)=(1,2)$ and slope $m=3$.

Step2: Check the point

The line must pass through $(1,2)$. Among the options, only graph D shows the line passing through $(1,2)$.

Step3: Verify slope

The slope 3 means for each 1 unit right, the line rises 3 units, which matches graph D.

Answer:

D. (The graph passing through (1,2))