The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.
The point-slope form of the equation for a line of slope m through point (h, k) can be written ...
... y = m(x -h) +k
For your point and the slope found above, this becomes
... y = (-5/3)(x -15) -5
When x=0, this is
... y = (-5/3)(-15) -5 = 20
The y-intercept is 20.
Answer:
Step-by-step explanation:
We are given the expression
This means that we are looking for two numbers that would add together to give us 12 and multiply to give us 27.
The two numbers that fit this description are 3 and 9.
This means that the factored form of the expression would be