Can someone help me figure out how to solve this slope graph problem?

Which of the following points would fall on the line produced by the point-slope form equation y - 6 = 7(x + 4) when graphed?

lenpol72020-03-06T20:36:13Z

y - 6 = 7(x + 4) is a straight line equation.
We can algebraically rearrange into the usual 'y = mx + c'' stright line form .
First multiply out the brackets
y - 6 = 7x + 28
y = 7x + 34

Hence the slope is '7' ; the coefficient of 'x'
The y-intersect is '34' ; the constant.

David2020-03-06T11:05:19Z

Where are the following points which could be (-34/7, 0) and (0, 34) which are the x and y intercepts respectively?