Chapter Review
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Identify the y-intercept. Then, find another point that lies on the grid.
y=-1/2x+1
Equations written in slope-intercept form follow a specific format. y= mx+ b In this form, m is the slope and b is the y-intercept. We need to identify these values using the graph.
We can see that the function intercepts the y-axis at (0, 1). This means that the value of b is 1. y= mx+ 1
To find the slope, we will trace along the line on the given graph until we find a lattice point, which is a point that lies perfectly on the grid lines. Doing so, we can identify the slope m using the rise and run of the graph.
Here, we have identified (4,-1) as our other point. Traveling to this point from the y-intercept requires that we move 4 steps horizontally in the positive direction and 2 steps vertically in the negative direction. rise/run=-2/4 ⇔ m= -1/2
Now that we have the slope and the y-intercept, we can form our final equation. y= mx+ b ⇒ y= -1/2x+ 1