SOLUTION: Determine whether a system of two linear equations with (0,0) and (2,2) as solutions sometimes, always, or never has other solutions.

Question 269471: Determine whether a system of two linear equations with (0,0) and (2,2) as solutions sometimes, always, or never has other solutions.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
A line is defined by two points. You have two points, so you have one line.
.
We know two points: (0,0) and (2,2)
m = slope = rise/run = change in y/ change in x
m = (2-0)/(2-0) = 2/2 = 1
.
By inspection we know the x and y intercepts, which is the origin (0,0).
.
That means the equation is:
y = mx +b
y = 1*x +0
y = x
.
RELATED QUESTIONS
If the graphs of two linear equations in a system have different slopes, the system... (answered by jim_thompson5910)

Determine whether each system of linear equation has one and only one sol. Infinite many... (answered by KMST)

Complete the following statements with never, sometimes, or always. 1. There are... (answered by stanbon)

tell whether the statement is always , sometimes or never true. 1. Two complementary... (answered by solver91311)

For each of the following, determine whether the statement is sometimes, always, or never (answered by Solver92311)

1. are supplementary angles adjacent. sometimes, always or never. 2. congruent angles... (answered by jim_thompson5910)

The graph of a system of equations with the same slope will have no solutions. Always (answered by jim_thompson5910)

Determine whether the statement Is always, Sometimes, Or never true 1) Two lines with... (answered by Alan3354)

Tell whether each statement is always, sometimes, or never true. 1) If the graph of a... (answered by richard1234)