A pair of lines intersect at the point (-3,4). which pair of equations could represent these lines?
a. 2x+3y=6
y=x-7
b.2x+3y=6
y=-3x+4
The correct pair of equations that could represent the given lines intersecting at the point (-3,4) is:
b. 2x + 3y = 6 and y = -3x + 4.
To determine which pair of equations could represent the lines that intersect at the point (-3,4), we need to substitute the given coordinates into both sets of equations and see if they satisfy the equations.
For option a:
Substituting the coordinates (-3,4) into the equations:
1. 2x + 3y = 6
2(-3) + 3(4) = 6
-6 + 12 = 6
6 = 6 (True)
2. y = x - 7
4 = -3 - 7
4 = -10 (False)
Since the second equation doesn't hold true, option a is not the correct pair of equations.
For option b:
Substituting the coordinates (-3,4) into the equations:
1. 2x + 3y = 6
2(-3) + 3(4) = 6
-6 + 12 = 6
6 = 6 (True)
2. y = -3x + 4
4 = -3(-3) + 4
4 = 9 + 4
4 = 13 (False)
Since the second equation doesn't hold true, option b is not the correct pair of equations.
Therefore, the correct pair of equations that could represent the lines intersecting at (-3,4) is option a: 2x + 3y = 6 and y = x - 7.
y=kx
you need to plug in the values and see whether they work on both lines.
What do you get?