AThe equation of a line in slope interception form is: y = mx + b
Where m is the slope an b is the y-intercept
If the line is paralell to y + 4 = 7(x - 12) then it must have the same slope
We have to fin the slope of this line, so we will write the equation in the same form:
y + 4 = 7(x - 12) = 7x - 84
y + 4 = 7x - 84
y = 7x - 84 - 4 = 7x - 88
y = 7x - 88
Now we know that the slope is 7
Using this value of m = 7 and the point (-3,0) we can write:
y = 7x + b
0 = 7(-3) + b
0 = -21 + b
b = 21
Now we know tha the y-intercept is b = 21
We can write the equation:
y = mx + b
y = 7x + 21