Identify the y-intercept and a point on the line. Then, use these two to find the slope.
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Practice makes perfect
Let's recall the slope-intercept form of a line.
y=mx+b
Here, m represents the slope and b the y-intercept. Let's identify the slope and the y-intercept of the line in the graph.
Finding the y-intercept
Consider the given graph.
We can see that the function intercepts the y-axis at the point (0, 4). This means the y-intercept is b= 4.
Finding the Slope
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. By doing this, we will be able to identify the slope using rise and run of the graph.
Here we have identified (3,2) as our second point. From the y-intercept to this point, we move 3 steps horizontally in the positive direction. Then, we move 2 steps vertically in the negative direction.
rise/run=- 2/3 ⇔ m= -2/3
Writing the Equation
Now that we have the slope and the y-intercept, we can write our final equation.
