As the line is parallel to the given line, the slopes of both lines are equal.
The given line 8x − y = 9 can be written in slope-intercept form as:
y = 8x - 9
Comparing with y = mx + b, we get slope m = 8.
Therefore, the slope of the line we need to find is also 8.
Using the point-slope form of the equation of a line, we have:
y - y1 = m(x - x1)
where (x1, y1) = (7, 3) and m = 8.
Substituting the values, we get:
y - 3 = 8(x - 7)
y - 3 = 8x - 56
y = 8x - 53
This is the equation of the line in slope-intercept form. To convert it to standard form, we move all the variables to the left-hand side:
-8x + y = -53
Therefore, the equation of the line in standard form is:
8x - y = 53.