Question

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1) . What is the slope-intercept form of the equation for this line?

a. y=1/2x + 2
b. y=1/2x - 4
c. y= 1/2x + 5/2
d. y=1/2x - 7/2

Answer 1

Just first multiply 2 with left hand side term and and show me your work.

Answer 2

The given equation is
\[y-3=1/2(x-1)\]
Open the bracket on the right side
\[y-3=(x/2)-(1/2)\]
take the 3 to the right side
\[y=(x/2) +3 -(1/2)\]
simplifies to
\[y=(x/2)+(5/2)\]
which is of the form
\[y=mx+c\]
\[m=1/2\]
\[c=5/2\]
option C