Question

enter the correct answer that completes the sentence below. the y-intercept of the graph of y = -6x + 3 is \square. (type an ordered pair.)

Explanation:

Step1: Recall y - intercept formula

The equation of a line in slope - intercept form is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. For the y - intercept, the value of \(x = 0\) (because the y - intercept is the point where the line crosses the y - axis, and on the y - axis, the x - coordinate is 0).

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

Given the equation \(y=-6x + 3\), when \(x = 0\), we substitute \(x\) into the equation: \(y=-6(0)+3\).
First, calculate \(-6\times0 = 0\). Then, \(y=0 + 3=3\).
So the ordered pair for the y - intercept is \((0,3)\) (since \(x = 0\) and \(y = 3\)).

Answer:

\((0,3)\)