Question

Which graph shows the line y-4=3(x+1)?

Answer 1

For this case we must indicate the graph corresponding to the following equation:

$y-4 = 3 (x + 1)$

We found the cut points:

X axis: We do$y = 0$

$0-4 = 3 (x + 1)\\-4 = 3x + 3\\-4-3 = 3x\\-7 = 3x\\x = - \frac {7} {3}$

Y axis: We make $x = 0$

$y-4 = 3 (0 + 1)\\y-4 = 3 (1)\\y-4 = 3\\y = 3 + 4\\y = 7$

The graph is shown in the attached figure.

Answer:

See attached image