Megan and sam were solving a system of equations. they both noticed that the two lines had different slopes. megan said that because each line in the system had different slopes, the two lines had to intersect, which meant there was one solution to the system. sam disagreed, and said they should also look at the y-intercepts. who is correct?
a. megan is correct. when two lines have different slopes, they must intersect, producing one solution.
b. neither person makes a valid argument.
c. sam is correct. when two lines intersect, their y-intercepts determine how many solutions there will be.
1)slope=5/3 y-intercept=-4
2)slope=4/7 y-intercept=3
3)slope=undefined y-intercept=-5
Slope is 1/3
y-intercept = -4
Step-by-step explanation:
The equation;
y = 1/3x - 4 is an equation of a straight line on cartesian plane.
The slope is just derived from 1/3x and its 1/3
The y intercept is when x = 0 and its -4
slope 1/3
y intercept= 4
Your answer is A. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.
Slope: 1/3
Y-intercept: (0,-4)
A. Matt is correct. Though two lines with equal slopes are often parallel, if they have the same y intercept, they are the same line and have infinitely many solutions.
Step-by-step explanation: Apex Answer
Erica
Step-by-step explanation:
Two lines with the same (defined) slope will only have infinite solutions if their y-intercepts are the same. Otherwise, the number of solutions (points on both lines) is zero.
Matt is correct
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
In this problem we can have two cases
case 1) The two equations are equal, in this case the system has infinite solutions
case 2) The two equations have the same slope but different y-intercept, in that case the system has no solution.
therefore
Matt is correct
Since the 2 lines have the same slope, then the lines are parallel and never intersect. Thus there is no solution to the system of equations
Neither Jake nor Erica are correct.
A
Step-by-step explanation: