Question

what is the graph of the equation $y = -\frac{1}{4}x + 2$? the y-intercept is \\(\square\\), which means the line crosses the y-axis at the point (type integers or fractions. simplify your answers.)

Explanation:

Step1: Recall the slope - intercept form of a line

The equation of a line in slope - intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Identify the \(y\) - intercept

For the equation \(y=-\frac{1}{4}x + 2\), comparing it with \(y = mx + b\), we have \(b = 2\).

When \(x = 0\), \(y=-\frac{1}{4}(0)+2=2\). So the line crosses the \(y\) - axis at the point \((0,2)\)

Answer:

The \(y\) - intercept is \(2\), which means the line crosses the \(y\) - axis at the point \((0,2)\)