Step-by-step explanation:
The easiest thing to do here is:
4x + 2 = -2 and 4x + 2 = 26
Just know whaever you get for x is greater or less than the actual answer.
4x + 2 = -2
- 2 - 2
4x = -4
x = -1 <--- Because -2 is supposed to be greater than x, x equals any number less than -1 but not -1.
4x + 2 = 26
- 2 - 2
4x = 24
x = 6 <--- Because 26 is supposed to be less than x, x equals any numbey greater than 6 but not 6
<u>Answer: </u>
The point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 is 3x + y – 19 = 0
<u>Solution: </u>
The point slope form of the line that passes through the points and parallel to the line with slope “m” is given as
--- eqn 1
Where “m” is the slope of the line. are the points that passes through the line.
From question, given that slope “m” = -3
Given that the line passes through the points (6,1).Hence we get
By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope -3 can be found out.
y – 1 = -3(x – 6)
y – 1 = -3x +18
On rearranging the terms, we get
3x + y -1 – 18 = 0
3x + y – 19 = 0
Hence the point slope form of given line is 3x + y – 19 = 0