Answer:
y = -2x+8
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -4-4)/(6-2)
= -8/4
= -2
The slope is -2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Using the point ( 2,4)
4 = -2(2) +b
4 = -4+b
Add 4 to each side
4+4 = -4+4+b
8 = b
y = -2x+8
Answer:
y - 2 = (-3/7)(x + 5)
Step-by-step explanation:
Recall that the slopes of a line and another line perpendicular to the first are negative reciprocals.
The slope of the given line is 7/3. The negative reciprocal of that is -3/7. Thus, we immediately eliminate the fourth answer choice.
We must now find the equation of the perpendicular line, with slope -3/7, that passes through (-5, 2). We'll do that using the point-slope formula for the equation of a straight line.
That formula is y - k = m(x - h), where m is the slope and (h, k) is the given point.
Substituting 2 for k, -5 for h and -3/7 for m, we get:
y - 2 = (-3/7)(x + 5). This matches the 3rd given possible answer.
