58 pts!!!! Write an equation of the line in slope intercept form.
1 answer:
Answer:
y=x+1
Step-by-step explanation:
First, let's do the easiest part, finding the y-intercept, which shows up at the end of your slope intercept equation, y=mx+b, where slope is rise over run!
- Simply look for where the coordinate is on the y-intercept, which is at y = 1!
Then, we need to find our rise over run, which is basically counting from point a to point b. To get to the lower coordinate from the top, we go down two (-2), and over 4. Which means we "rose" -2, and "ran" 4! It's -2 because we went DOWN, and positive 4 because we went FORWARD. This gave us 2 over 4, which is the same as 1 over 2!
:D
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<span>
Solving:
1)
-58 - 6x = 42 + 4x
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>- 6x - 4x = 42 + 58
- 10x = 100 simplify by (-1)
10x = - 100
</span>
<span>
2)
37 + 5x = -2x - 33
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>5x + 2x = - 33 - 37
7x = - 70
</span>
<span>
3)
27 - 9x = -6x - 39
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66
Solving:
1)
-58 - 6x = 42 + 4x
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>- 6x - 4x = 42 + 58
- 10x = 100 simplify by (-1)
10x = - 100
</span>
2)
37 + 5x = -2x - 33
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>5x + 2x = - 33 - 37
7x = - 70
</span>
<span>
3)
27 - 9x = -6x - 39
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66