The slope intercept form of the equation
[tex]y = \frac{1}{2}x - \frac{3}{2}[/tex]
Solution:
The equation of line in slope intercept form is given as:
y = mx + c ----- eqn 1
Where, m is slope and c is y intercept
Given that,
The equation of line is:
[tex]y = \frac{1}{2}x + 1[/tex]
On comparing the above equation with eqn 1,
[tex]m = \frac{1}{2}[/tex]
We know that, slopes of parallel lines are equal
Therefore, slope of line parallel to given line is 1/2
Substitute m = 1/2 and (x, y) = (-5, -4) in eqn 1
[tex]-4 = \frac{1}{2} \times -5 + c\\\\c = -4 + \frac{5}{2}\\\\c = \frac{-8+5}{2}\\\\c = \frac{-3}{2}[/tex]
[tex]Substitute\ m = \frac{1}{2}\ and\ c = \frac{-3}{2}\ in\ eqn\ 1\\\\y = \frac{1}{2}x - \frac{3}{2}[/tex]
Thus the equation of line in slope intercept form is found
