Question

what is the graph of the equation $y = -\frac{1}{4}x + 2$?

the y-intercept is 2, which means the line crosses the y-axis at the point
(type integers or fractions. simplify your answers.)
the slope of the line is negative, so it goes from left to right.

Explanation:

Step1: Find the y - intercept

The equation of a line is in the form \(y = mx + b\), where \(b\) is the y - intercept. For the equation \(y=-\frac{1}{4}x + 2\), when \(x = 0\), \(y=2\). So the line crosses the y - axis at the point \((0,2)\).

Step2: Analyze the slope

The slope \(m=-\frac{1}{4}\). A negative slope means that as \(x\) increases (moving from left to right on the x - axis), \(y\) decreases. So the line goes down from left to right.

Answer:

The line crosses the y - axis at the point \((0,2)\) and goes down from left to right.