Answer:
the desired equation is y = (-7/2)x - 8
Step-by-step explanation:
Don't you mean y = -2/7x+9, or y = (2/7)x+9? Any line perpendicular to this line has a slope of -7/2, the negative reciprocal of (2/7).
Start with the slope-intercept formula:
y = mx + b. Substitute -6 for y, 4 for x and -7/2 for m. Then we have
-6 = (-7/2)(4) + b. This reduces to -6 = -14 + b, so that b must be -8.
Thus, the desired equation is y = (-7/2)x - 8
