Question

what is the y-intercept of y=-2x+6?
(6,0)
(0,6)
(0,-2)
(-2,0)
jackson is tracking the progress of his plant is 5 cm high. the plant grows 1.5cm per day you solve the following question: what

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a linear equation in the form \(y = mx + b\) (slope - intercept form) is the point where the line crosses the y - axis. On the y - axis, the x - coordinate is 0. So, to find the y - intercept, we set \(x = 0\) in the equation and solve for \(y\).

Step2: Substitute \(x = 0\) into the equation

Given the equation \(y=-2x + 6\), substitute \(x = 0\) into it:
\(y=-2(0)+6\)
\(y = 0 + 6\)
\(y=6\)

So when \(x = 0\), \(y = 6\), which means the y - intercept is the point \((0,6)\).

Answer:

B. (0,6) (assuming the options are labeled as A. (6,0), B. (0,6), C. (0, - 2), D. (-2,0))