Answer:
C) (y - 1)(y - 5)
Step-by-step explanation:
Hi there!
First you separate your expression into groups.
Now we take the common multiple out of each.
Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.
After we do that, we are left with y - 1. (we got this from taking the common multiples out)
Now we are just left with (y - 5)(y - 1)
Hope this helped!
Step-by-step explanation:
see the pic for the answer
Answer:
a. -⅓
b. 3
c. y = 3x - 10
Step-by-step explanation:
a. Gradient of line AB:
A(1, 3), B(7, 1)
Gradient (m) = -⅓
b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.
Thus, the negative reciprocal of -⅓ = 3
Gradient of the line perpendicular to line AB = 3
c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:
We can write the equation using the point-slope form equation, y - b = m(x - a), where,
(a, b) represents a point on the line, and,
m = gradient/slope
We know that the gradient/slope (m) = 3
Also, a point, (a, b) = (4, 2).
Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)
Thus:
y - 2 = 3(x - 4)
y - 2 = 3x - 12
Add 2 to both sides
y = 3x - 12 + 2
y = 3x - 10
