Approximate the solution to this system of equations. (6 points) y = –x + 3
y = 2x + 1
The first step is to identify y-values for different values of x. The table shows y-values for the two functions between x = -1 and x = 2.
x
y = –x + 3
y = 2x + 1
–1
4
–1
–0.5
3.5
0
0
3
1
0.5
2.5
2
1
2
3
1.5
1.5
4
2
1
5

How do you know that the solution is between the two rows in the table corresponding to x=0.5 and x=1? (1 point)

Complete the table to show the values of x between 0.5 and 1. (2 points)

x
y = –x + 3
y = 2x + 1
0.5
2.5
2
0.6

0.7

0.8

0.9

1
2
3

Which two x-values will the solution be between? (1 point)

Identify a reasonable approximation for the solution of this system. (2 points)

The solution is (-2/3,7/3)

Step-by-step explanation:

1) What is the bottom part saying? I will just solve what I see on top since that may be the only part you need to solve, comment what the bottom part is if you need it, I'll help.

2) y=7/3 by solving. for y.

3) x = -4/6 by solving for x after plugging in the y.

4) Your answer is (-2/3,7/3).

the probability is 0

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is