Cumulative Practice
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Identify the y-intercept. Then, find another point that lies on the grid.
A
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, - 2). This means that the value of b is - 2. y= mx+( - 2)
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 the x-intercept at (1,0) as our other point. Traveling to the y-intercept from this point requires that we move 1 step horizontally in the positive direction and 2 steps vertically in the positive direction. rise/run=2/1 ⇔ m= 2
Now that we have the slope and the y-intercept, we can write our final equation. y= 2x+( - 2) ⇔ y = 2x - 2 This corresponds to option A.