In this activity, you will write the equation of each line in a system of linear equations given a graph of the system. Then, you’ll use the substitution property to solve the system. Examine the graph of this system of linear equations, and then answer the questions that follow.

graph of a system of two linear equations: line 1 has a y-intercept of -2 and rises 2 units for every 1 unit to the right; line 2 has a y-intercept of 2 and rises 1 unit for every 3 units to the right
What is the equation of line 1?

Enter the correct answer in the box by replacing the values of m and b.
What is the equation of line 2?

Enter the correct answer in the box by replacing the values of m and b.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

c-   36

taxicab circle radius 9 has 4(9) = 36 points