Question

Which linear function has the greatest y-intercept? y = 6 x + 1 On a coordinate plane, a line goes through points (0, 2) and (5, 0). On a coordinate plane, a line goes through points (1, 2) and (0, negative 3). y = 3 x + 4.

Answer 1

The linear function y = 3x + 4 has the greatest y-intercept, which is 4. It surpasses the y-intercepts of the other provided linear functions.

Step-by-step explanation:

To determine which linear function has the greatest y-intercept, we need to look at the constant term in each function, when written in the form y = mx + b, where m is the slope and b is the y-intercept. For the given linear functions:

• y = 6x + 1 has a y-intercept of 1.
• A line through points (0, 2) and (5, 0) can be represented by the equation y = -2/5x + 2, with a y-intercept of 2.
• A line through points (1, 2) and (0, -3) can be represented by the equation y = 5x - 3, with a y-intercept of -3.
• y = 3x + 4 has a y-intercept of 4.

Therefore, the function with the greatest y-intercept is y = 3x + 4, as the y-intercept is 4 which is higher than the other given intercepts.

Answer 2

y = 6x + 1 (0,2) (5,0)

Step-by-step explanation:

Really just need to pay attention where the x coordinate is at. If at 0, and the y coordinate is elsewhere, you will be able to tell where the y intercept is. Usually, you quickly draw a graph if the numbers are more complex.