Share 7-8 Understand the y-Intercept of a Line
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What is the y-intercept of the line 𝑦 = 3 𝑥 + 5?
5
Identify the y-intercept of the equation 𝑦 = − 2𝑥 − 4.
-4
On the graph of 𝑦 = 4 𝑥 + 3, at which point does the line cross the y-axis?
At (0, 3).
What does the y-intercept represent on a graph?
The point where the line crosses the y-axis.
True or False: The y-intercept always has an x-coordinate of 0.
True
In the equation 𝑦 = 𝑚 𝑥 + 𝑏, what does 𝑏 represent?
The y-intercept
If a line passes through the point (0, -7), what is the y-intercept?
-7
On a graph, a line crosses the y-axis at (0, 6). What is the y-intercept?
6
A graph shows a line crossing the y-axis at (0, 2). What is the equation of the line if the slope is 3?
y=3x+2
From a graph, a line crosses the y-axis at -3. Write the y-intercept as a point.
(0, -3)
A phone plan costs $20 per month plus a $50 activation fee. What is the y-intercept in the cost equation 𝑦 = 20 𝑥 + 50?
50
You rent a bike for $15 per hour and pay a $10 rental fee. What is the y-intercept in the equation 𝑦 = 15 𝑥 + 10?
10
True or False: In the equation 𝑦 = 5 𝑥 + 7 , the y-intercept is 7.
True
True or False: The y-intercept is where a line crosses the x-axis.
False
True or False: The y-intercept is always positive.
False
What's the y-intercept in the graph?
-2
