The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Answer:
C. x^2-4
Step-by-step explanation:
A binomial has 2 terms. Since C is the only one with 2 terms, that is the binomial.
Answer:
y=7.51
Step-by-step explanation:
First, you have to simplify one of the equations down
3x-y=4
y=-4+3x
Second, you insert the value of y into the other equation and then solve for x
9x+5(-4+3x)=8
9x-20+15x=8
24x=28
x=1.17
Last, insert the value of x into the original equation and then solve for y
y=4+3(1.17)
y=7.51
Answer:
55
Step-by-step explanation: