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Answer:
y -4 = -2(x -(-11))
Step-by-step explanation:
The point slope formula is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
So, the boxes in order from left to right are k, m, h.
The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.
Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...
Given:
The given equation of line is
To find:
The equation of line that passes through (-5,4) and is parallel to the given line.
Solution:
Slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of given line is .
Slope of parallel lines are same. So, slope of parallel line is .
The required line passes through (-5,4) with slope . So, the equation of line is
Adding 4 on both sides, we get
Therefore, the correct option is a.