Answer:
parallel means that the line has the same slope as
[tex]y = \frac{1}{2} x + 9[/tex]
Slope point formula :
y - y1 = m (x - x1)
m represents the slope.
x and y represents the point in the form (x, y).
Since the slopes are the same we can substitute the slope into the formula:
[tex]y - y1 = \frac{1}{2} (x - x1)[/tex]
then we can substitute our point (2, - 5)
[tex]y - ( - 5) = \frac{1}{2} (x - 2)[/tex]
Final answer:
Change the - 5 to positive.
[tex]y + 5 = \frac{1}{2} (x - 2)[/tex]
Leave y by it's own and subtract 5 to get rid of it. Do this both sides to make it equal.
[tex]y + 5 - 5 = \frac{1}{2} (x - 2) - 5[/tex]
Get rid of the brackets by multiplying:
[tex]y =( \frac{1}{2} \times x) - ( \frac{1}{2} \times 2) - 5[/tex]
simplify:
[tex]y = \frac{1}{2} x - 1 - 5[/tex]
Answer:
[tex]y = \frac{1}{2} x - 6[/tex]
