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Identify the y-intercept and use the other point that is given on the grid.
y=-2x
Equations written in slope-intercept form follow a specific format. y= mx+ b In this form, m is the slope of the line and b is the y-intercept. We need to identify these values using the graph. Let's start with the y-intercept.
We can see that the function intercepts the y-axis at (0, 0). This means that the value of b is 0.
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 will be able to identify the slope m using the rise and run of the graph.
Here, we have used the given (-2,4) as our other point. Traveling to this point from the y-intercept requires that we move 2 steps horizontally in the negative direction and 4 steps vertically in the positive direction. rise/run=4/- 2 ⇔ m= -2
Now that we have the slope and the y-intercept, we can form our final equation. y= mx+ b ⇓ y= -2x+ 0 Therefore, the equation of the line for the given graph is y=-2x.
