Write the equation of a line parallel to y = 1/2x + 8 that passes through (4, 9).

Answer:y = x/2 + 7

Step-by-step 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