Answer:y = x/2 + 7
Explanation:
The equation of a line, represented in the slope-intercept form, is
y = mx + c
Where
Slope = m
c = intercept
Looking at the equation given,
y=1/2x + 8
Slope,m = 1/2
If a line is parallel to a another line, then the slope of one line is equal to the slope of the other line. It means that the slope of the parallel line that passes ( 4, 9 ) will be 1/2
To determine c,
We will substitute m = 1/2, y = 9 and x = 4 into the slope intercept equation,
y = mx + c. It becomes
9 = 1/2 × 4 + c
9 = 2 + c
c = 9- 2= 7
The equation becomes
y = x/2 + 7