Answer:
Slope: 3.
Equation: y = 3x + 8.
Step-by-step explanation:
Lines that are parallel to each other will have the same slopes.
So, the slope of the new line will be 3.
Since we have the slope, and a set of coordinates the line passes through, we can find the equation. So far, we have y = 3x + b. x = -2, y = 2.
2 = 3(-2) + b
3(-2) + b = 2
-6 + b = 2
b = 8
So, the equation of the line will be y = 3x + 8.
Hope this helps!
Answer:
Step-by-step explanation:
The point-slope formula is 
where we substitute a point (x,y) for 
.
We have m=3 and (-1, 2). We input m and 
.
Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
The side is -15 and the top is 56
Remember that
Thus, we can solve for x.
x + 22 = 90 - (2x - 7)
x + 22 = 97 - 2x
3x + 22 = 97
3x = 75
x = 25
