Question

1. The ordered of pairs represent some points on the graph of lines m and

Line m
Linen
x -3 2
3 7
X -18 -9
y -11 4 7 19
12 8
9
0
36
-12
Which system of equations is represented by lines m and n?
a. 3x - y = 6
4x + 9y = 4
b. 3x - y = 2
4x + 9y = 36
C. x-3y = -18
9x + 4y = 9
d. x + y = 10
9x + 4y = 13

Answer 1

B

Explanation:

slope formula

`(y_2-y_1)/(x_2-x_1)`

we have the two points

(2,4) (3,7)

`(7-4)/(3-2)=3`

which means the slope for line m is 3x

our equation so far looks like this

y=3x+b

plug in a set of numbers to solve for b

let's use (2,4)

4=3(2)+b

4=6+b

b= -2

which means our equation is

y= 3x-2

which is equal to

2= 3x-y

the only answer is then B