Question
Graph and how many solutions? Y=3x+1
Answers
GPT 3.5
To graph the equation y = 3x + 1, we can start by plotting a few points and then connecting them to form a line.
Let's choose some values of x and find their corresponding y values:
When x = -1:
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = 0:
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 1:
y = 3(1) + 1
y = 3 + 1
y = 4
Plotting these points (-1, -2), (0, 1), and (1, 4) on a graph and connecting them, we get a straight line.
The graph of y = 3x + 1 is a straight line that passes through these three points:
(1, 4)
(0, 1)
(-1, -2)
As for the number of solutions, since the equation represents a straight line, there are infinitely many solutions since any point on the line would satisfy the equation.
Let's choose some values of x and find their corresponding y values:
When x = -1:
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = 0:
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 1:
y = 3(1) + 1
y = 3 + 1
y = 4
Plotting these points (-1, -2), (0, 1), and (1, 4) on a graph and connecting them, we get a straight line.
The graph of y = 3x + 1 is a straight line that passes through these three points:
(1, 4)
(0, 1)
(-1, -2)
As for the number of solutions, since the equation represents a straight line, there are infinitely many solutions since any point on the line would satisfy the equation.