Answer:
y = 3x + 2
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (-1, -1), (1, 5)
(-1, -1) = (x1, y1)
(1, 5) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
Simplify:
5 - (-1) = 5 + 1 = 6
1 - (-1) = 1 + 1 = 2
The slope is 3.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (1, 5)) into the equation and solve for b:
5 = 3(1) + b
5 = 3 + b
2 = b
The y-intercept is 2.
Now that we know the slope and the y-intercept, we can write the equation:
y = 3x + 2
The answer is x=-6.33333 (-19/3)
First, add like terms (12+7), which would equal to 19.
Then isolate the variable by subtracting 19 and adding it to the other side of the equal sign.
Now with this new equation of 3x=-19, isolate again by dividing 3 from x and do the same thing to the other side (-19/3).
The answer should be -6.33 repeating, but in algebra you would give a more simplified answer. This would be -19/3
Answer:
Top right corner
Step-by-step explanation:
We know a square has 4 sides. So do 144÷4 and that equals 36. Therefore, the measure of its sides are 36cm². You can check by doing this: 36×4 and that equals 144cm². So the answer is 36cm². Hoped I helped. :)
Answer: 81π
Step-by-step explanation: the slice of the circle is 120 degrees, and to go all the way around the circle is 360. It takes 3 120's to go all the way around the circle. Multiplying 27 times 3 will get you 81.
