Answer:
Step-by-step explanation:Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
( )
( )
So the slope of the slope of the line passing through these two points is 3.
Step 2: Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and
we get:
y = 3x + b
Next choose one of the two point to plug in for the values of x and y. It does not matter
which one of the two points you choose because you should get the same answer in either
case. I generally just choose the first point listed so I don’t have to worry about which
one I should choose.
(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.
–2 = –3 + b Solve for b and you will have the y-intercept.
b = 1
7. We know that they must all add up together to get 90 degrees because of the symbol show the right angle.
We can use this to form and solve an equation:
2x +1x + 30 = 90
3x+30 = 90 (add the x's together)
3x = 60 (subtract both sides by 30 to get the x's alone)
x =20 (divide by 3 to get what 1x is equal to)
(The next question is very similar)
8. To solve this, we need to know what all the x's together are equal to.
Since angles on a straight line add up to 180 degrees -we can make an equation:
4x+x+30 = 180
5x + 30 +180 (add all the x's together)
5x = 150 (subtract both sides by 30 to get what 5x is equal to)
x = 30 (divide by 5 to get what just 1x is)
Hoped this helped - please ask if anything doesn't make sense!
M < 3 + m<4 = 180 degrees (adjacent angles)
m<4 = 180 - 77 = 103 degrees Answer
4x - 6 = x + 9
4x - x = 9 + 6
3x = 15
x = 15/3
x = 5
==============
4 - 7x = 1 - 6x
4 - 1 = -6x + 7x
3 = x
==============
-4x - 3 = -6x + 9
-4x + 6x = 9 + 3
2x = 12
x = 12/2
x = 6
==============
41 - 2x = 2 + x
41 - 2 = x + 2x
39 = 3x
39/3 = x
13 = x
===============
6(2 + y) = 3(3-y)
12 + 6y = 9 - 3y
6y + 3y = 9 - 12
9y = - 3
y = -3/9
y = -1/3
==============
4x = 2(x - 5) - 2
4x = 2x - 10 - 2
4x - 2x = -10 - 2
2x = -12
x = -12/2
x = -6
===============
6x - 9x - 4 = -2x - 2
-3x - 4 = -2x - 2
-4 + 2 = -2x + 3x
-2 = x
==============
-2(2x + 3) = -4(x + 1) - 2
-4x - 6 = -4x - 4 - 2
-4x - 6 = -4x - 6
infinite solutions
================
3 + 6x = 9 - 6x
3 - 9 = -6x - 6x
-6 = -12x
-6/-12 = x
1/2 = x
==============
-9x + 6 = -x + 4
6 - 4 = -x + 9x
2 = 8x
2/8 = x
1/4 = x
I hope I read these correctly....not that easy...u got weird looking x's and ur 4's can almost pass for 6's
Step-by-step explanation:
6-20/3=14/3..........
