Answer:
y = x + 2
Step-by-step explanation:
Step 1: Find the slope
Step 2: Substitute the slope and a point in to find y intercept
(6)=(1)(4)+b
6 = 4 + b
b = 2
Step 3: Substitute all the information in
y = x + 2
Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2
Answer: 1) D 2) B
<u>Step-by-step explanation:</u>
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form where both a and b are integers.
Since is irrational and not an integer, then the expressions containing an irrational term <em>after simplified</em> cannot result in an integer.
Therefore, options <em>(i)</em> and <em>(iv)</em> are not rational expressions.
Option <em>(iii)</em> contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.