The equation that gives the coordinates (0,1), (2,5), (3,7) is y =2x + 1.
Explanation:
Step 1; We need to determine the equation relating the x to the f(x) values from the given coordinates. y is the dependent value whereas x is the independent value i.e. y's value depends on x's value.
Step 2; If we multiply the x value with 2 and add the resulting answer with 1 we get the y value.
y = 2x + 1 is the equation that relates the values in the table.
Step 3; Now we substitute the values in the equation to see if it's correct.
For x = 0, y = 2(0) + 1 = 0 + 1 = 1,
For x = 2, y = 2(2) + 1 = 4 + 1 = 5,
For x = 3, y = 2(3) + 1 = 6 + 1 = 7.
So the equation that gives the coordinates (0,1), (2,5), (3,7) is y =2x + 1.