Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0, y)
Function A:
y-intercept = -2/3
Function B:
You can find the y-intercept by finding the slope-intercept form of the function, or you can look at the table and find a pattern. The pattern is: when x increases by 2, y decreases by 1. If you continue the pattern, when x = 0, y is -7.
So the y-intercept = -7.
The y-intercepts of both functions are negative
Answer:
I think I got the answer. I kinda didn’t understand it but i think I know it.
The answer is: 7.375
First let us assign the variables for the two lengths:
x = 1st integer
x + 1 = 2nd consecutive integer = the
hypotenuse of the right triangle
The 2nd consecutive integer should be the hypotenuse
since its value should be highest among the three sides.
Now using the hypotenuse formula we calculate for x:
(x + 1)^2 = 5^2 + x^2
x^2 + 2x + 1 = 25 + x^2
2x + 1 = 25
2x = 24
x = 12 m
So other integer is
x + 1 = 13 m
Therefore the other sides are 12 m and 13 m.
Answer: The ordered pair is (2,3)
Step-by-step explanation:
To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:
x + 1 = -x + 5
The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.
Move the variables to one side and the numerical values to another:
x + x = 5 - 1.
Simplify.
2x = 4
Simplify.
x = 2.
Now, we got our x value, we can substitute it into our problem:
y = 2 + 1
y + -2 + 5
2 + 1 = - 2 + 5 = 3
Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).