Question

Give three solutions to the equation y = 3 x + 4 y=3x+4 . give your solutions as ordered pairs, using reduced fractions or integers for coordinates.

Answer 1

To find three solutions to the equation y = 3x + 4, you can choose different values for x and calculate the corresponding values of y. Three solutions are (0, 4), (1, 7), and (-1, 1).

Step-by-step explanation:

The equation y = 3x + 4 represents a linear equation in slope-intercept form, where the coefficient of x is the slope and the constant term is the y-intercept. To find three solutions to this equation, we can choose different values for x and calculate the corresponding values of y.

1. If x = 0, then y = 4. So one solution is (0, 4).
2. If x = 1, then y = 7. So another solution is (1, 7).
3. If x = -1, then y = 1. So the third solution is (-1, 1).

Answer 2

To find solutions to an equation, we can choose any values for x, and then use the equation to find the value of y to make an ordered pair in the form (x,y). First, let's choose x = 1. y = 3(1) + 4 = 7 The ordered pair is (1,7) Let's choose x = 4. y = 3(4) + 4 = 16 The ordered pair is (4,16) Let's choose x = 11 y = 3(11) + 4 = 37 The ordered pair is (11,37) The three solutions we found are: (1,7) (4,16) (11,37) Note that we could choose any values for x that we like. In this case we chose x = 1, x = 4, and x = 11, but any values of x will work fine.