Answer:
y=(-6/5)x+8.6
Step-by-step explanation:
If a line is perpendicular to 5x-6y=9, then it must have a slope that is the negative reciprocal.
1) Fine the slope of the first line by setting the equation equal to y.
5x-6y=9
5x-9= 6y
(5/6)x-1.5=y
slope= 5/6
2) Find the negative reciprocal of the slope
slope: 5/6
reciprocal: 6/5
negative reciprocal: -6/5
3) We now get to use the points (-3, 5) by plugging them into slope-intercept form. The goal is finding the y-intercept.
y=mx+b
5=(-6/5)(-3)+b
5=(-18/5)+b
5= -3.6+b
b= 8.6
4) Now we put everything back in slope-intercept form.
y=(-6/5)x+8.6
