Practice Test
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First, use the given points to calculate the slope. Then, identify the y-intercept.
y=- 4/3x-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 given graph.
Let's start by substituting the points given on the graph into the Slope Formula and calculating m.
Substitute ( -3,3) & ( 0,-1)
Subtract term
a-(- b)=a+b
Add terms
Put minus sign in front of fraction
We calculated that the slope of the given equation is - 43. Now, let's calculate the y-intercept and then write the equation in slope-intercepted form.
The y-intercept is the y-value where the line crosses the y-axis.
We can see that the function intercepts the y-axis at (0, - 1). This means that the value of b is - 1.
Now that we have the slope and the y-intercept, we can write our final equation. y= - 4/3x+( - 1) ⇔ y=- 4/3x-1