Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
3. Slope-Intercept Form
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Exercise 25 Page 312

Identify the y-intercept. Then, find another point that lies on the grid.

y=- 2x+4

Practice makes perfect

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.

y-intercept

The y-intercept is the y-value where the line crosses the y-axis.
y-intercept

We can see that the function intercepts the y-axis at (0, 4). This means that the value of b is 4. y= mx+ 4

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.

Finding a Lattice Point
Here we have identified (2,0) as our second point. We will now substitute the points into the Slope Formula and calculate the slope.
m=y_2-y_1/x_2-x_1
m=0 - 4/2- 0
m=- 4/2
m=- 2
The value of the slope m is - 2.

Writing the Equation

Now that we have the slope and the y-intercept, we can write our final equation. y= - 2x+ 4