Hello, Angelina,
The given equation is in standard y-intercept form, y=mx+b, where m is the slope and b is the y-intercept.
y = − 5/6 x −2
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line. So this perpendicular line will have a slope of (6/5), which is the negative inverse of -(5/6). We don't know the y-intercept of the new line, so let's just call it "b" for now:
y = (6/5)x+b
We can find b since we know the values of x and y for one point on the line (10,15), Just enter them in the above equation and solve for b.
y = (6/5)x+b
15 = (6/5)(10)+b
15 = 12 + b
b = 3
y = (6/5)x + 3
Bob
