Answer:
Step-by-step explanation:
Given:
The two points on the line are:
Now, for a line with two points on it, the slope of the line is given as:
For the points 
, slope is:
Now, for a line with slope 'm' and a point 
on it is given as:
Plug in all the values and determine the equation of the line. This gives,
Therefore, the equation of the line is:
Answer:
Area = 24 in²
Perimeter = 24in
Step-by-step explanation:
To find the area given the length of the 3 sides:
a= 8in
b= 6.4in + 3.6in= 10in
c= 6in
Add them together:
8in + 10in + 6in
= 24in²
To find the perimeter you do the same thing:
a= 8in
b= 10in
c= 6in
Add them together
=24in
DO <u>NOT</u> SQUARE THE ANSWER WHEN FINDING <u>PERIMETER</u>
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
