Question

1. leveled practice graph the equation ( y = 2x + 4 ). the ( y )-intercept is (square), which means the line crosses the ( y )-axis at the point ((square,square)). plot this point. the slope of the line is positive, so it goes (square) from left to right. start at the ( y )-intercept. move up (square), and then mov right (square). you are now at the point ((square,square)). plot this point. draw a line to connect the two points.

Explanation:

Step1: Find the y - intercept

The equation is in the form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=2x + 4\), \(b = 4\). The line crosses the y - axis at \(x = 0\), so the point is \((0,4)\).

Step2: Analyze the slope

The slope \(m = 2=\frac{2}{1}\). A positive slope means the line goes up from left to right.

Step3: Use the slope to find another point

Starting from the y - intercept \((0,4)\), using the slope \(\frac{\text{rise}}{\text{run}}=\frac{2}{1}\), we move up \(2\) units and then right \(1\) unit. The new \(x\) - coordinate is \(0 + 1=1\) and the new \(y\) - coordinate is \(4+2 = 6\). So the new point is \((1,6)\).

Answer:

The y - intercept is \(4\), which means the line crosses the y - axis at the point \((0,4)\). The slope of the line is positive, so it goes up from left to right. Start at the y - intercept. Move up \(2\), and then move right \(1\). You are now at the point \((1,6)\).